a printing company orders paper from two different suppliers. supplier x charges $25 per case. supplier y…

a printing company orders paper from two different suppliers. supplier x charges $25 per case. supplier y charges $20 per case. the company needs to order at least 45 cases per day to meet demand and can order no more than 30 cases from supplier x. the company needs no more than 2 times as many cases from supplier y as from supplier x. let x = the number of cases from supplier x and y = the number of cases from supplier y. complete the constraints on the system. y ≤ 2x, x + y ≥ 45, x ≤ 30. the printing company wants to minimize costs. what is the objective function? p = 45x + 20y, p = 25x + 45y, p = 25x + 10y, p = 25x + 20y

a printing company orders paper from two different suppliers. supplier x charges $25 per case. supplier y charges $20 per case. the company needs to order at least 45 cases per day to meet demand and can order no more than 30 cases from supplier x. the company needs no more than 2 times as many cases from supplier y as from supplier x. let x = the number of cases from supplier x and y = the number of cases from supplier y. complete the constraints on the system. y ≤ 2x, x + y ≥ 45, x ≤ 30. the printing company wants to minimize costs. what is the objective function? p = 45x + 20y, p = 25x + 45y, p = 25x + 10y, p = 25x + 20y

Answer

Explanation:

Step1: Define cost - per - case

Supplier X charges $25 per case and Supplier Y charges $20 per case.

Step2: Form objective function

The objective is to minimize the cost $P$. The cost is the sum of the cost of paper from Supplier X and Supplier Y. If $x$ is the number of cases from Supplier X and $y$ is the number of cases from Supplier Y, then the cost function $P$ is the product of the number of cases and the cost per case for each supplier added together. So $P = 25x+20y$.

Answer:

$P = 25x + 20y$