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This is really difficult, I have no idea how to go about this.
A manufacturer of tennis rackets makes a profit of $15 on each oversized racket and $8 on each standard racket. To meet dealer demand, daily production of standard rackets should be between 30 and 80 (inclusive), and prdouction of oversized rackets should be between 10 and 30 (inclusive). To maintain high quality, the total number of rackets produced should not exceed 80 per day. How many of each type should be produced to maximize the profit?
Answer the following. Show all work.
1. Write the constraints and optimal equation.
2. Graph the region of feasible constraints.
3. Find all corner points.
4. Evaluate the optimal equation at each corner point.
5. Summarize your findings in a word statement.
Please help!
A manufacturer of tennis rackets makes a profit of $15 on each oversized racket and $8 on each standard racket. To meet dealer demand, daily production of standard rackets should be between 30 and 80 (inclusive), and prdouction of oversized rackets should be between 10 and 30 (inclusive). To maintain high quality, the total number of rackets produced should not exceed 80 per day. How many of each type should be produced to maximize the profit?
Answer the following. Show all work.
1. Write the constraints and optimal equation.
2. Graph the region of feasible constraints.
3. Find all corner points.
4. Evaluate the optimal equation at each corner point.
5. Summarize your findings in a word statement.
Please help!