Calvin Butterball is Chief mathematician for Fly-By-Night Aircraft Corp. He is responsible for mathematical analysis of the manufacturing of the Company's two models of planes, the Sopwith Camel and the larger Sopwith Hippopotamus. Each Department at Fly-By-Night has certain restrictions concerning the number of planes which can be manufactured per day. i. Production: No more than 7 Hippopotami and no more than
11 Camels can be manufactured per day.
ii. Shipping: No more than 12 planes, total, can be manufactured per day.
iii. Sales: the number of Hippopotami manufactured per day
must be no more than twice the number of Camels.
iv. Labor: You must use more than 1000 man-hours of labor per day. (It takes 100 man-hours to manufacture each Camel and 200 man-hours to manufacture each Hippo.)
a. Select variables to represent the number of Camels and Hippo-
potami manufactured per day, write inequalities expressing each
of the above restrictions, and draw a graph of the feasible region
(the solution set of the system).
b. If Fly-by-Night makes a profit of $300 per Camel and $200 per
Hippo, show the region on your graph in which the daily profit
would be at least $3000.
c. How many Hippos and how many Camels should be produced
per day to give the greatest feasible profit? What would this profit be?