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find the minimum value for the equation c=-2x+y given the following constraints

x greater or equal to 0

y greater than or equal to 0

x+y less than or equal to 7

5x+2 less than or equal to 20      a. 12   b. -8  c. 7   d. -10

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You need have those concepts clearly: feasible region, constraints, and that extremely value of objectivec function must be in one of the corners.

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1 Answer

x greater or equal to 0

y greater than or equal to 0

x+y less than or equal to 7

5x+2y less than or equal to 20 <==Is this what you meant?

This is a linear programming problem. The ideas to solve the problem is to draw the feasible region, and check the value of the objective function at each corner.

The corner leads to the minimum value of -2x+y is at (4, 0). So, the minimum value of -2x+y is -8.

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Attn: I calculated the maximum value somehow. Now it is correct.

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