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IgorLugansk [536]
4 years ago
8

A chocolate bar contains 50 calories and s of protein and makes a

Mathematics
1 answer:
Alla [95]4 years ago
8 0

Answer:

He should serve 2 chocolate bars and 2 granola bars

Step-by-step explanation:

Let's define

x: amount of chocolate bar  

y: amount of granola bar

We are asked to solve the following optimization problem:

maximize 7*x + 2*y  

subject to

50*x + 25*y ≤ 150

5*x + 15*y ≥ 40

x ≥ 0

y ≥ 0

In the figure attached, the feasible region is shown. The solution is one of the vertex

vertex            objective function

(0, 2.667)       7*0 + 2*2.667 = 5.334

(2, 2)               7*2 + 2*2 = 18

(0, 6)               7*0 + 2*6  = 12

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