constraint: S+T<=30
constraint: 8S+6T<=220
so, where do these lines intersect?
6S+6T=180
8S+6T=220
or
2S=40 ;S=20 and T=10
so the test points the boundary points (O,30)(220/8,0)(20,10)
so figure profit for each point
P=700S+600T
P1=18,000
P2=19250
P3=20,000
check my work
A farmer has to decide how many acres of a 30-acre plot are to be devoted to growing strawberries and how many to growing tomatoes. There will be 220 hours of labor available for the picking. It takes 8 hours to pick an acre of strawberries and 6 hours to pick an acre of tomatoes. The profit per acre is $700 on the strawberries compared to $600 on the tomatoes. How many acres of each should be grown to maximize profit?
1 answer
1 answer