Please read the problem very carefully Is similar to other e

Please read the problem very carefully. Is similar to other exercices that are in the Chegg database, but have an additional requirement that is highlight in bold. I dont know if have an inpact or no in the problem. Please include all the solutions steps. Thanks for your help.

A store in Rio Piedras has to make room for new outfits by liquidating 200 of its shirts and 100 pairs of pants from last season. They have decided to put together two offers, A and B. Offer A is a package of one shirt and a pair of pants which will sell for $30. Offer B is a package of three shirts and a pair of pants, which will sell for $50. The store does not want to sell less than 20 packages of Offer A and less than 10 of Offer B. At least 60% of the products have to be shirts.

Formulate a LP model to determine how many packages of each do they have to sell to maximize the money generated from the promotion?

Solution

let number of packages of offer A be x

number of packages of offer B be y

Now the constarints are

i) x > =20

ii) y > =10

iii) x+3y <= 200

iv) x+y <= 100

v) x + 3y >= 0.6 ( x+ 3y + x+y) (x+3y is the number of shirts and x+3y+x+y is the total number of products)

and we want to maximize

30*x + 50*y