Question

A sports camp has a total of $2,880 to purchase new equipment. They need baseballs and baseball gloves. A pack of baseballs costs $16, and a glove costs $48. The camp needs to include at least 50 items in its order. Let x represent the number of gloves and y represent the number of packs of baseballs. Draw a graph to represent the number of packs of baseballs and baseball gloves the camp can purchase with its budget.

Answer 1

Answer:

Step-by-step explanation:

Problem to start doing linear programming, excellent.

Number of packs of baseballs to be purchased = x

Cost of a pack of baseballs,  C= 16

Number of gloves to be purchased = y

Cost of a glove, G = 48

Minimum number of items = 50   [x+y >= 50]

Maximum amount to be spent = 2880   [Cx + Gy <= 2880]

Graph drawn and attached.

Shaded area (grey) represent all feasible purchases.

Maximum number of pairs of gloves = 60 (zero balls), or

maximum number of sets of balls = 180 (no gloves)