Q36. - Algebra 2

Question

There are a total of  workers hours available per day for production at a calculator manufacturer. There are  workers hours variable for encasement and Quality Control each day. The table below shows the number of hours needed in each department for two different types of Calculators.

36. what is the maximum profit?

Step-by-Step Solution

Answer

The maximum profit=5525

Step 1: Set up the linear programming problem

Identify the constraints from worker hours for production, encasement, and quality control. Define decision variables for each type of calculator produced.

Step 2: Find corner points

Graph the constraint inequalities and identify the feasible region. The vertices (corner points) of the feasible region are the candidates for the optimal solution.

Step 3: Evaluate the objective function

Evaluate the profit function at each corner point of the feasible region to find the maximum.

Step 4: State the answer

The maximum profit is \$5525.