Solve by Linear Programming: 1. A manufacturer wants to maximize the profit of t

Question

Solve by Linear Programming:

1.

A manufacturer wants to maximize the profit of two products. Product I yields a profit of
$ 1.50 per unit, and product II yields a profit of $2.00 per unit. Market tests and available resources
have indicated the following constraints:
• The combined production level should not exceed 1200 units per month.
• The demand for product II is no more than half the demand for product I.
• The production level of product I is less than or equal to 600 units plus three times the
production level of product II.

Explanation / Answer

Let x be number of units of product I and y be number of units of product 2

=>

objective function:

Maximize z = 1.5 * x + 2 * y

Constraints:

x+y <=1200

y <= x/2

x <= 600 + 3y

=>

x-3y <=600

solve the LPP problem for optimal solution

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