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Use the given information to write constraints and a cost function. You do not n

ID: 3113485 • Letter: U

Question

Use the given information to write constraints and a cost function. You do not need to graph the constraints, find corner points, or solve the problem.

x = # oz. of brand A
y = # oz. of brand B
C = cost


(Note: In giving constraints below, to enter a symbol type >=. To enter a symbol, type <=. So a typical constraint might look something like this: 4x + 3y <= 25. In all expressions give the x term first and the y term second.)

Give the constraint that limits the amount of food in the diet.


Give the protein constraint.


Give the carbohydrate constraint.


Give the cost function which is to be minimized (using C for cost and expressing C in cents NOT dollars).

Explanation / Answer

x= oz. of brand A;

y = oz. of brand B;

constraint for food limitation

x + y <= 6

protein constraint

4x + 5y >=26

carbs. constraint

3x + 2y >= 18

cost function is

C = 6x + 4y ( C is in cents)

NOTE : All of this condition can't be satisfied.

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