Can you list all constraints?

Question

A craftswoman produces two products: floor lamps and table lamps. Production of one floor lamp requires 75 minutes of her labor and materials that cost $25. Production of one table lamp requires 50 minutes of labor and materials that cost $20. The craftswoman wants to work no more than 40 hours each week, and her financial resources allow her to pay no more than $900 for materials each week.

Answer 1

Hi Malorey,

If she makes X floor lamps and Y table lamps per week, then

75 min = 1hr + 15 min = 5/4 hr , 50 min = 5/6 hr 

The number of hours per week 5X/4 + 5Y/6 = (1/12)(15X + 10Y) 

$25 material cost per floor lamp, $20 material cost per table lamp

The cost of materials is 25X + 20Y

The constraints  for the craftswoman are;

X ≥0, Y ≥0

(1/12)(15X + 10Y) ≤ 40 or 15X + 10Y  ≤ 480 and  25X + 20Y  ≤ 900