Question

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 ≤ 2 x
x + y ≥ 45
x ≤ 30
complete
the printing company wants to minimize costs. what is the objective function?
○ p = 45x + 20y
○ p = 25x + 45y
○ p = 25x + 10y
○ p = 25x + 20y
done

Explanation:

Step1: Define cost per supplier

Cost from Supplier X: $\$25$ per case ($x$ cases: $25x$)
Cost from Supplier Y: $\$20$ per case ($y$ cases: $20y$)

Step2: Sum costs for total cost

Total cost $P$ = cost from X + cost from Y
$P = 25x + 20y$

Answer:

D. $P = 25x + 20y$