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Linear Programming Problem?

quot;Widget Worldquot; is rolling out two new all purpose widgets names quot;Alphaquot; and quot;Omegaquot;Each quot;Alphaquot; widget sells for 25$ and requires 5 pounds of copper, 10 pounds of zinc, and 20 pounds of aluminumEach quot;Omegaquot; widget sells for 30$ and requires 15 pounds of copper, 10 pounds of zinc and 10 pounds of aluminum.The store has access to 900 pounds of copper, 800 pounds of zinc, and 1200 pounds of aluminum per weekhow many of each type of widget should be produced per week to maximize revenue.Find : ConstraintsRevenue expressionOptimal amount maximum revenue

Answer:

Get the biscuit pasta, roll it out with dough rollerThen cut into two or three inch stripsCut the chicken into piecesPut one piece of chicken and one small piece of broccoli and one small piece of cheese and roll it upBake it for ten minutes at 400 degreesIt's like a delicious crepeOptional: You cook put a couple of mushrooms insideGood as snacks alsoDelicious!
Delicious Rice and Chicken Casserole chicken breasts 1 sm box Minute rice 1 can cream of mushroom soup 1 can cream of celery soup 1 c milk 1/2 pkg dry onion soup mix Cook rice and place in bottom of 13 oblong casserole dishHeat soups and milk togetherPour soup/milk mixture over rice and stir to mixLay pieces of chicken on top of mixtureSprinkle dry onion soup over topCover tightly with foil and bake at 325 degrees for 2 1/2 hours+++++++ CORNFLAKE CHICKEN 1 or 2 chickens 1/4 to 1/2 box crushed cornflakes, depends on amount of chicken 1 or 2 sticks melted butter, depends on amount of chicken Turn oven to 350 degreesPut foil on a cookie sheetDip chicken in butter and then in cornflakesPlace on cookie sheet and salt, pepper to tasteBake 1 hour cut it into strips, marinate it, then cook in a frying pan with 1-2 Tof oil and the remaining marinadeThe following is an easy homemade marinade: 3 Tsoy sauce 2 Tsherry or white cooking wine 4 tspcornstarch 1/4 tspsugar 1/8 tstground ginger When the chicken is cooked through, serve
Use dressingPerhaps soy sauce or barbeque? Or heavily season with garlic, paprika and saltPut potatoes, celery and carrots around chickenBake at 350 as necessaryOr on the flip-side, use parsnip and turnip and potato combinationJust brussel sprouts r excellent:)
Get a big old deep cast iron skilletIf you don't have one or can't get one, you might as well quit cause you can't make proper fried chickenRight, so put the skillet on the hob and crank up the heatPour in oil (peanut or grapeseed) to about 1/2 deepSeason your cut-up chicken with salt pepper and cayenne, if you like-I don't care-and put it in a medium size paper bagAdd 1/2C or so flour and shake to coatWhen the oil reaches 325F, start adding the chicken, skin side downDo this slowly so that 1the oil doesn't splash out on you and 2so that it doesn't cool down too quicklyCook for 10 minutes and turn it skin side upKeep monkeying with the heat so that the chicken is frying at a steady, not fast rateAfter 10 minutes, you can start turning it to brown the sides and edges, 2 - 3 minutes perThen flip it skin side down for 2 more minutes followed by 2 more skin upDrain on paper towel covered newspaperTimes above are approximate-mine usually looks right at 20 - 30 minutes total cooking time.
Formulating a linear program works best if you use the following stepsFirst be clear in defining what your variables mean, including the units of measureThe problem statement pretty much lays it out for you on this one, the variables should be how many of the two widgetsI'll call them A and Z for alpha and omega, you could of course just use x and ySecond, define the objective functionHere, it's the revenue, which is computed by taking 25 times A, and 30 times Z, and adding them togetherThus, maximize 25A + 30ZThen for the constraints, ask yourself what stops you from having infinite revenue by making infinite numbers of these widgetsThe reason is that you have limited resources, namely the copper, zinc, and aluminumLet's look at the copperYou use up this resource at different rates, depending on the widget you are makingThe amount of copper you use is 5 times the number of Alpha widgets, and 15 times the number of Omega widgets, and (as with the revenue) add them togetherYou then want to make sure it's no greater than 900, the amount of copper on handThus: 5A + 15Z 900The constraints for zinc and aluminum operate in a similar way and I'll leave it to youIncluding the usual restriction that A0 and Z0, this completes the formulation - all the information in the problem statement has been usedTo solve a two-variable problem, you probably are using a graphical methodGraph your three constraints and the two non-negativity restrictions, and locate the corners of the feasible spaceEvaluate the objective function at each of them, and whichever has the largest value is your answer.

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