Superior Coffee
5 August 2010
Superior Coffee
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 ANVIL POUR OVER COFFEE MAKER CMA 7001 NEW IN BOX BUSINESS RESTAURANT BREWER NIB $114.99 Time Remaining: 1h 4m |
 CAPPUCCINO MIX SUPERIOR FRENCH VANILLA 6 2 LB BAGS $41.00 Time Remaining: 13d 9h 37m Buy It Now for only: $41.00 |
 STOVE SAFETY OVEN RACK BURN GUARDS SAFE BAKING COOKING $21.99 Time Remaining: 7d 1h 20m Buy It Now for only: $21.99 |
 SUPERIOR HOT CHOCOLATE MIX 6 2 LB BAGS VENDING $41.00 Time Remaining: 4d 3h 43m Buy It Now for only: $41.00 |
 GOURMET CHEFS CARROT CURLER GARDE MANGER GARNISH TOOL $6.99 Time Remaining: 3d 3h 18m Buy It Now for only: $6.99 |
 COFFEE TEA STAINLESS STEEL COMMERCIAL LINED AIRPOT PUSH BUTTON VACUUM 25L $29.95 Time Remaining: 3d 6h 57m Buy It Now for only: $29.95 |
 Taylor 430 12 Frozen Beverage Margarita Freezer $3,999.99 Time Remaining: 29d 6h 46m Buy It Now for only: $3,999.99 |
 HOTTOP PROGRAMMABLE B P COFFEE ROASTER + FREE COFFEE + FREE SHIPPING $899.99 Time Remaining: 28d 7h 23m Buy It Now for only: $899.99 |
 22L Hot Tea Water Coffee Double walled Stainless Steel Air Pot with Lever $29.99 Time Remaining: 24d 20h 10m Buy It Now for only: $29.99 |
 BUNN COMMERCIAL COFFEE FILTERS 12 CUP BREWERS 1000 $23.95 Time Remaining: 6d 13h 19m Buy It Now for only: $23.95 |
 OVEN SPATULA PIZZA PEEL BAKERY BBQ GRILL LIFTER 12 $45.98 Time Remaining: 22d 12h 6m Buy It Now for only: $45.98 |
 ANTIBACTERIAL NSF STAINLESS STEEL POT PAN 2 SCRUBBIES $4.18 Time Remaining: 4d 1h 46m Buy It Now for only: $4.18 |
 BUNN HOME COFFEE MAKER FILTERS 1000 COUNT GENUINE NEW $24.85 Time Remaining: 28d 13h 36m Buy It Now for only: $24.85 |
 NEW MICROPLANE KNIFE CUT RESISTANT GLOVE ONE SIZE 8 9 $14.89 Time Remaining: 10d 1h 44m Buy It Now for only: $14.89 |
 COFFEE TEA STAINLESS STEEL COMMERCIAL LINED AIRPOT PUSH BUTTON VACUUM 19L $24.95 Time Remaining: 3d 6h 37m Buy It Now for only: $24.95 |
 Bloomfield 8780 Thermal Carafe Coffee Brewer $100.00 Time Remaining: 6d 8h 56m |
 POWDERED SUGAR COCOA FINE MESH SIFTER SHAKER ST STEEL $11.89 Time Remaining: 24d 3h 24m Buy It Now for only: $11.89 |
 SET OF 4 ROUND S S BISCUIT COOKIE CUTTER COMFORT HANDLE $9.95 Time Remaining: 9d 23h 51m Buy It Now for only: $9.95 |
 NSF COMMERCIAL STAINLESS STEEL 12 WIRE BALLOON WHISK 10 $13.88 Time Remaining: 22d 5h 31m Buy It Now for only: $13.88 |
 BAKERS BARISTAS SMALL INCREMENT MEASURING SPOONS SET $6.35 Time Remaining: 5d 4h 32m Buy It Now for only: $6.35 |
 Kegco Full Size Kegerator Draft Beer Tap Stainless Door $414.95 Time Remaining: 1d 15h 39m Buy It Now for only: $414.95 |
 Kegco Full Size Kegerator Draft Beer Cooler Tap Black $409.95 Time Remaining: 2d 14h 40m Buy It Now for only: $409.95 |
 Kegco Dual Faucet Kegerator Draft Beer Kegerator Tap Refrigerator Black $499.95 Time Remaining: 2d 14h 40m Buy It Now for only: $499.95 |
 NEW SET OF 4 ROUND RIPPLED S S BISCUIT COOKIE CUTTERS $10.69 Time Remaining: 17d 5h 48m Buy It Now for only: $10.69 |
 OXO GOOD GRIPS SILICONE FLEXIBLE PANCAKE TURNER SPATULA $14.99 Time Remaining: 28d 6h 43m Buy It Now for only: $14.99 |
 NEW WELL BALANCED HIGH CARBON STEEL CHINESE CHEFS CLEAVER BUTCHER MEAT KNIFE $29.98 Time Remaining: 29d 5h 50m Buy It Now for only: $29.98 |
 50 Disposable Cafe To Go Paper COFFEE Cups 16 oz + 50 LIDS SHIPS FREE $22.99 Time Remaining: 20d 5h 12m Buy It Now for only: $22.99 |
 NEW S S SAUTE SEAFOOD SUSHI SAFE SILICONE TIP TWEEZERS $12.99 Time Remaining: 21d 8h 12m Buy It Now for only: $12.99 |
 WHITE PORCELAIN CHEESE TRAY MARKERS BUTTONS LABELS FLAGS SET OF 6 ASST DESIGNS $14.95 Time Remaining: 22d 23h 27m Buy It Now for only: $14.95 |
 Gourmet Chocolate Truffle Sauce Ice Cream Topping Syrup Large 7lb Size Bulk $32.50 Time Remaining: 1d 4h 23m |
 CARVED GOURMET TOOTHPICK REFILLS FOR DISPENSERS 250 PKG $5.75 Time Remaining: 20d 23h 3m Buy It Now for only: $5.75 |
 CHEFS COOKS KEY CHAIN KEYRING S STEEL MINI WHISK $3.88 Time Remaining: 7d 9h 48m Buy It Now for only: $3.88 |
 CURTIS 135 TALL FOAM AIRPOT COFFEE POT SPONGE BRUSH $2.50 Time Remaining: 26d 10h 35m Buy It Now for only: $2.50 |
 STAINLESS STEEL MUSHROOM EGG BERRY SLICER GARDE MANGER $14.99 Time Remaining: 10d 23h 11m Buy It Now for only: $14.99 |
 NEW NARROW DEEP 8 1 2 BROWNIE BAR COOKIE SPATULA STAINLESS STEEL CUT SERVE $9.48 Time Remaining: 15d 5h 38m Buy It Now for only: $9.48 |
 STURDY 18 8 STAINLESS MEASURING SPOONS SET 5 SPOON W ML $11.89 Time Remaining: 17d 12m Buy It Now for only: $11.89 |
 STAINLESS STEEL 10 OZ WINE GLASSES VINO GOBLET SET OF 2 $29.79 Time Remaining: 19d 2h 17m Buy It Now for only: $29.79 |
 NSF COMMERCIAL STAINLESS STEEL DELUXE POTATO MASHER NEW $15.98 Time Remaining: 16d 22h 41m Buy It Now for only: $15.98 |
 NEW PASTRY BAKING ROLLING FRENCH PIN WOODEN AN ALTON BROWN FAVORITE BAKE STYLE $17.95 Time Remaining: 20d 1h 32m Buy It Now for only: $17.95 |
 NEW SET OF 4 FRENCH OVAL HEAD BEECHWOOD COOKING SPOONS $18.98 Time Remaining: 15d 21h 45m Buy It Now for only: $18.98 |
 Superior Coffee D500 D60GT G3 Generation Brewing Machine CURTIS Brew Commercial $124.99 Time Remaining: 28d 2h 16m Buy It Now for only: $124.99 |
 POLISHED STAINLESS STEEL MULTI PURPOSE SERVING TONGS $12.98 Time Remaining: 17d 9m Buy It Now for only: $12.98 |
 GLOBE GSP30A LABEL PRINTING SCALE 30 LB X 01 LB $1,042.00 Time Remaining: 14d 21h 47m Buy It Now for only: $1,042.00 |
 Slushie Frozen drink Ugolini Granita Iced Coffeemaker Magnetic drive Black $187.50 (12 Bids) Time Remaining: 2d 9h 23m |
 bunn o matic 10 cup filters 1000 ct 201060000 $12.59 Time Remaining: 14d 39m Buy It Now for only: $12.59 |
 STOVE SAFETY OVEN RACK BURN GUARD SAFE BAKING COOKING $12.99 Time Remaining: 10d 3h 58m Buy It Now for only: $12.99 |
 Kegco Two Tap Kegerator Draft Beer Keg Cooler Stainless $524.95 Time Remaining: 1d 15h 39m Buy It Now for only: $524.95 |
 OVEN SPATULA PIZZA PEEL BAKERY BBQ GRILL SMOKER LIFTER $21.79 Time Remaining: 7d 2h 5m Buy It Now for only: $21.79 |
 Bloomfield 8773 Integrity Airpot Coffee Brewer Stainless Steel $99.99 Time Remaining: 24d 9h 23m Buy It Now for only: $99.99 |
 9 STAINLESS STEEL SERVING FOOD PREP LOCKING TONGS $8.98 Time Remaining: 10d 6m Buy It Now for only: $8.98 |
 PULY CAFF ESPRESSO MACHINE CLEANING POWDER 32 oz JAR $35.00 Time Remaining: 8d 3h 53m Buy It Now for only: $35.00 |
 SUSTAINABLE BAMBOO COOKING SERVING SAUTE SUSHI TONGS $7.48 Time Remaining: 6d 3h 45m Buy It Now for only: $7.48 |
 12 STAINLESS STEEL SERVING FOOD PREP LOCKING TONGS $9.99 Time Remaining: 8d 10h 49m Buy It Now for only: $9.99 |
 Dickies Christmas Chef Restaurant Bib Apron Baker New $14.97 Time Remaining: 17d 7h 39m Buy It Now for only: $14.97 |
 ELEGANT STAINLESS APPETIZER COCKTAIL CATERING PICKS 16 $11.29 Time Remaining: 18d 6h 31m Buy It Now for only: $11.29 |
 STAINLESS STEEL DOUBLE MESH STRAINER SIEVE COLANDER 10 $33.89 Time Remaining: 6d 9h 44m Buy It Now for only: $33.89 |
 BAMBOO KNOT KNOTTED PARTY PICKS COCKTAILS CATERING 50 $5.38 Time Remaining: 26d 8h 17m Buy It Now for only: $5.38 |
 La San Marcos SM90 Espresso Grinder $329.00 Time Remaining: 6d 12h 3m |
 USA MADE COFFEE BEAN ROASTER ROASTING VARIAC TEMPERATURE CONTROL FRENCH ROAST $219.00 Time Remaining: 10d 5h 16m Buy It Now for only: $219.00 |
 NEW SET OF 4 VALENTINE HEART SHAPED STAINLESS STEEL SHARP BISCUIT COOKIE CUTTERS $13.95 Time Remaining: 7d 19m Buy It Now for only: $13.95 |
 La Marzocco Linea Espresso Cappuccino Machine $3,999.99 Time Remaining: 23d 7h 17m Buy It Now for only: $3,999.99 |
 NEW MICROPLANE GOURMET SERIES ZESTER GRATER BLACK FINE $16.89 Time Remaining: 16d 11h 33m Buy It Now for only: $16.89 |
 PULY CAFF ESPRESSO MACHINE CLEANING POWDER 20 gr BAG $4.95 Time Remaining: 14d 7h 49m Buy It Now for only: $4.95 |
 SILVER FOIL CANDY TARTLET BAKING DESSERT CUPS MINI 60 $4.98 Time Remaining: 18d 1h 30m Buy It Now for only: $4.98 |
 Commercial Electric 14 Griddle 120V NSF Vollrath 40715 $439.87 Time Remaining: 23d 6h 20m Buy It Now for only: $439.87 |
 La Marzocco 3 Group Linea Espresso Cappuccino Machine $5,999.99 Time Remaining: 17d 3h 13m Buy It Now for only: $5,999.99 |
 AP Automated Products 213 Dual Cup Coffee Grinding Vending Machine WARRANTY $899.99 Time Remaining: 21d 4h 31m Buy It Now for only: $899.99 |
 NUOVA SIMONELLI MICROBAR AUTOMATIC ESPRESSO COFFEE MMICRO4CAP21AD004 DIRECT $7,599.00 Time Remaining: 11d 3h 37m Buy It Now for only: $7,599.00 |
 500 ROCKLINE Commercial Pleated Coffee Filters 2 Gallon Urn 14x6 100369 NEW $24.89 Time Remaining: 4d 8h 4m Buy It Now for only: $24.89 |
 PULY CAFF ESPRESSO MACHINE CLEANING POWDER 20 oz JAR $25.00 Time Remaining: 13d 2h 55m Buy It Now for only: $25.00 |
 Single Faucet Beer Jockey Box 28 Quarts 70 ft Keg Tap $222.95 Time Remaining: 4d 13h 39m Buy It Now for only: $222.95 |
 Nuova Simonelli Master 2 Cups Espresso Machine $3,700.00 Time Remaining: 1h 23m |
 Coffee Shop Cafe Wall Art Decor Original Painting print $6.99 Time Remaining: 17d 5h 8m Buy It Now for only: $6.99 |
 NEW S S FISH BONE DEBONING SEAFOOD SUSHI TWEEZERS TONGS $6.99 Time Remaining: 15d 5h Buy It Now for only: $6.99 |
 Fineline Settings 508 8 oz Coffee Mug W Gold Band 120 pcs White $68.31 Time Remaining: 6d 4h 14m Buy It Now for only: $68.31 |
 La Marzocco Linea 3 AV Commercial Espresso Machine Completely Rebuilt $7,499.00 Time Remaining: 21d 8h 48m Buy It Now for only: $7,499.00 |
 Coffee Shop Chef Restaurant Bib Apron Baker USA New $11.97 Time Remaining: 22d 6h 25m Buy It Now for only: $11.97 |
 NEW LOT of 2 CAMBRO CAMCARRIER FOOD PAN CARRIERS BEIGE $398.00 Time Remaining: 25d 4h 16m Buy It Now for only: $398.00 |
 THERMOPLAN CTS2 BW VERISMO 801 ESPRESSO COFFEE MACHINE w 30 DAY WARRANTY $2,195.00 Time Remaining: 21d 23h 24m Buy It Now for only: $2,195.00 |
 GOLD FOIL CANDY TARTLET BAKING DESSERT CUPS MINI 60 PK $4.98 Time Remaining: 18d 1h 47m Buy It Now for only: $4.98 |
 PULY CAFF SUPERAUTOMATIC ESPRESSO MACHINE CLEANING TABS $28.95 Time Remaining: 10d 12h 16m Buy It Now for only: $28.95 |
 CRATHCO 3 HEAD COUNTERTOP DRINK DISPENSER D35 4 BUBBLER $1,199.99 Time Remaining: 28d 3h 31m Buy It Now for only: $1,199.99 |
 BUNN Fast Flow COFFEE FILTERS 201220000 1000 Qty $18.95 Time Remaining: 24d 14h 58m Buy It Now for only: $18.95 |
 19L Double walled Stainless Steel Vacuum Flask Air Pot Keep Hot $29.99 Time Remaining: 24d 20h 8m Buy It Now for only: $29.99 |
 PULY CAFF SUPERAUTOMATIC ESPRESSO MACHINE CLEANER TABS $28.95 Time Remaining: 22d 4h 26m Buy It Now for only: $28.95 |
George's Coffee House problem please help 
?
For the current month, George's Coffee House has available 83 pounds of A grade coffee and 110 pounds of B grade coffee. These will be blended into 1-pound packages as follows: an economy blend that contains 6 ounces of A grade coffee and 10 ounces of B grade coffee, and a superior blend that contains 8 ounces of A grade coffee and 8 ounces of B grade coffee. There is a $4 profit on each economy blend package sold and a $5 profit on each superior blend package sold. Assuming that the store is able to sell as many blends as they make, how many packages of each blend should they make in order to maximize their profit for the month?
Define variables.
Let x = number of 1 lb. packages of economy blend
Let y = number of 1 lb. packages of superior blend
Grade A constraint:
6x + 8y ≤ 83*16 = 1328 Divide both sides by 2:
3x + 4y ≤ 664
Grade B constraint:
10x + 8y ≤ 110*16 = 1760 Divide both sides by 2:
5x + 4y ≤ 880
(I have used ounces instead of pounds in the constraint equations to avoid fractions.)
Physical constraints:
x ≥ 0, y ≥ 0
Objective function:
P(x, y) = 4x + 5y
I encourage you to graph the inequalities to find the feasible region. The boundary lines for the two grade constraint inequalities intersect at (108, 85).
The feasibility region is a a quadrilateral with vertices at (0, 0), (0, 166), (108, 85), and (176, 0)
P(0, 0) = $0
P(0, 166) = $830
P(108, 85) = $857
P(176, 0) = $704
