Problema Solution

Deluxe requires 3 hours to assemble and 1/2 hour to paint. Economy requires 2 hours to assemble and 1 hour to paint. Maximum assembly hours available per day is 24. Maximum painting hours available per day is 8. Profit on Deluxe is $16. Profit on Economy is $13. Find maximum profit per day.

Answer provided by our tutors

so we have 8x +16y =16

and 12x+8y=13

=>16x=10

=>x=10/16=0.633

y=11/16=0.6875

so max profit is 12*0.633 + 16*0.6875=18.6