Answer:
Step-by-step explanation:
A sports camp has a total of $2,880 to purchase new equipment. They need baseballs and baseball gloves. A pack of baseballs cost
s $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.
1 answer:
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)
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Answer:
625 square feet
Step-by-step explanation:
The greatest area of a polygon with a given perimeter is that of a regular polygon. A regular rectangle is one that has all sides the same length -- a square. The side length of a square with 100 ft perimeter is 25 ft. The area of a square with such a side length is
A = (25 ft)² = 625 ft²
The maximum possible area is 625 ft².
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In the attached, x is the length of one side. The area versus side length is plotted. The maximum is seen to be 625 ft² for a side length of 25 ft.
