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.

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)

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step-by-step explanation:

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hello,

as we don't know if g(x) is continue,

answer b

f(x)=2x²-8x+1=2(x²-4x+4)+1-8=2(x-2)²-7

vertex is (2,-7) ( a minimum since coefficient of x² is > 0)