Question

Prom Dresses: We are going to make 2 new styles of prom dresses for the new prom season: the sleeveless chiffon and the 2-piece taffeta. The chiffon dress requires 2 hours of sewing, and 2 hours of alterations. The taffeta dress requires 2 hours of sewing and 1 hour of alterations. There are no more than 24 hours available for sewing and no more than 20 hours available for alterations. The price of the chiffon dress is $375, and the price of the taffeta dress is $350. How many of each dress should be made to produce maximum income

Answer 1

Answer and Explanation:

a. The variable could be defined in the following way

Let us assume the number of chiffon dress be x

And, the number of tafetta dress be y

b. The objective function is to increased the income

So,

Maximize z = 375x + 350y

c. The constraints is

2x + 2y≤24 (sewing hours)

2x + y ≤20 (alterations hours)

x,y≥0 (non-negativity)

The same should be considered