Construct the general linear programming problem with the objective function and

Question

Construct the general linear programming problem with the objective function and all constraints. Do not solve!

ABC company makes two types of Frisbees, red and blue. Red Frisbees sell for $10 and blue Frisbees sell for 8$. ABC anticipates the total demand for Frisbees to be at least 10,000 for the month. It takes $3 in materials for each red Frisbee and $2 in materials for each blue Frisbee. There is $30,000 available for material costs per month. It takes 1 hour to manufacture a red Frisbee and 1/2 hour to manufacture a blue Frisbee. There are a total of 40,000 man hours per month. ABC wishes to find how many red and how many blue Frisbees should be produced to produce a maximum revenue.

Explanation / Answer

   x - number of Red frisbees
y - number of blue frisbees

maximize Z = 10x + 8y

x+y>= 10000
3x+ 2y <= 30000
x + y/2 <= 40000

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