oco suppose a local equipment rental company is willing to rent you additional m
ID: 1720378 • Letter: O
Question
oco suppose a local equipment rental company is willing to rent you additional ma- additional on an hourly basis. How much would you be willing to pay per hour for lathe and grinding machine work? (d) Suppose that the profit per 100 units of elbows fell to ss00 How would this change your production policy, and what would be your new optimal daily operating profit? (e) Suppose the local labor union demanded an extension to mandatory rest periods each shift, which would reduce available work time person hours per day. How would this affect your production policy and daily profit margin? 4.18. A poultry farmer owns 100 laying hens. Each week a hen can either lay 12 eggs or hatch 4 eggs, but not both. At the end of the four-week period all eggs and chicks will be sold; an egg will bring 10 cents and a chick will bring 60 cents. Assume that an egg can be hatched only in the week after it is laid. Otherwise it must be saved and sold for 10 cents. Also, assume that there are no eggs available for hatching in the first week Formulate a linear program that will suggest a hen-management strategy that will maximize profit for this operation. 4.19. You are the production manager for a very large construction company that is about to start a major concrete pour that is estimated to last for days primary job dur- ing this time is to provide the necessary forms each day: 1 2 3 4 5 6 7 8 9 10 Day Forms needed 50 60 80 70 50 60 90 80 50 100Explanation / Answer
Let xn be total number of chicks and yn be total eggs in nth week
Total amout which we can earn will be zn=60xn+10yn cents.
we see that each week there can be 12 eggs laid or 4 eggs hatched.
(yn+1=yn+12;n>0) or (yn+1=yn-4 and xn+1=xn+4; n>1 ) with x0=100 and y0=100
So for above recurrence equation we need to solve to maximize z for given n. This is the linear program stratergy to maximize profit.
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