A small company produces both standard and deluxe playhouses. The standard playhouses take 12 hours of labor?

Question

A small company produces both standard and deluxe playhouses. The standard playhouses take 12 hours of labor to produce, and the deluxe playhouses take 20 hours. The labor available is limited to 800 hours per week, and the total production capacity is 50 items per week. Existing orders require the company to produce at least 10 standard playhouses and 15 deluxe playhouses per week. Write a system of inequalities representing this situation, where x is the number of standard playhouses and y is the number of deluxe playhouses. Then graph the system of inequalities below.

Answer 1

Work: 12x + 20y <= 800
Number: x + y <= 50

Existing orders require 10 + 15 = 25 units and 10*12 + 15*20 = 120 + 300 = 420 hours per week, both of which are within the companies capacity.

Can you add a comment about where you got this problem? I answered it between four and six months ago.