Baking Cookies
Level
pending
.
(Vanilla, Chocolate)=(45, 45)
(Vanilla, Chocolate)=(0, 90)
(Vanilla, Chocolate)=(60, 30)
(Vanilla, Chocolate)=(80, 0)
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We have the LP:
MAX
$ 3 ⋅ v + $ 2 . 5 ⋅ c
subject to:
v + c ≤ 9 0 ;
0 . 3 v + 0 . 2 c ≤ 2 4 ;
v , c ≥ 0 .
The feasible region is the plot below:
which has the critical vertices ( c , v ) = ( 0 , 0 ) ; ( 0 , 9 0 ) ; ( 8 0 , 0 ) ; ( 3 0 , 6 0 ) . Plugging each of these points into the objective function, the maximum income occurs at ( c , v ) = ( 3 0 , 6 0 ) = $ 2 5 5 .