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Linear programming-what is the value of objective function
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Formulate and use linear programming to solve the following problem (the only
difference from the previous problem is that an additional 100 hours of labor
is now available). A firm wants to determine how many units of each of three
products (products X, Y, and Z) they should produce in order to make the most
money. The profit from making a unit of product X is $130, the profit from
making a unit of product Y is $80, and the profit from making a unit of
product Z is $70. Although the firm can readily sell any amount of each of the
products, it is limited by its total labor hours and total machine hours
available. The total labor hours per week are 1200. Product X takes 5 hours of
labor per unit, product Y takes 2 hours of labor per unit, and product Z takes
2 hours of labor per unit. The total machine hours available are 1250 per
week. Product X takes 2 machine hour per unit, product Y takes 4 machine hours
per unit, and product Z takes 2 machine hours per unit. Write the constraints
and the objective function for this problem, solve for the best mix of product
X, Y, and Z, and report the maximum value of the objective function.
In the solution, what is the value of the objective function
