Question

5. [-15 Points) DETAILS ROLFFMB 33.039. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Set up the objective function and the constraints, but do not solve. (See Example) Wilson Electronics produces a standard Blu-ray player and a deluxe Bray player. The company has 2500 hours of labor and I.000 in operating expenses available each week. It takes 6 hours to produce standard layer and hours to produce a deluxe hay player. Each standard the player costs $115, each day costs $136. The company is required to produce at least 10 standard Blu-ray players. The company make a profit of for each standardy player for each dhe u ray player How many reach type of Blu-ray player should be produced to profit? (to represent the amber of standard Blu-ray pwers, the number of delivers and Subject to ahor operating expense required standard ray players VO

Answer 1

x represent the number of standard blue ray players , y the number of deluxe blu ray players ,

company makes a profit of $33 for each standard blue ray players and $27 for each deluxe blu ray players , so the profit function is

$\boldsymbol{z=33x+27y}$

availabe hours of labour is 2500 , and it takes 6 hours for standard and 7 hours for deluxe , we get labour inequality as

$\boldsymbol{6x+7y \leq 2500}$

for operating expenses we get

$\boldsymbol{115x+136y \leq 18000}$

and required standard blue ray is

$\boldsymbol{x\geq 40}$