Solve the problem. Assume that relative maximum and minimum values are absolute maximum and minimum values.
A firm produces two kinds of tennis balls, one for recreational players which sells for $2.50 per can, and one for serious players which sells for $4.00 per can. The total revenue from the sale of x thousand cans of the first ball and y thousand cans of the second ball is given by
The company determines that the total cost, in thousands of dollars, of producing x thousand cans of the first ball and y thousand cans of the second ball is given by
Find the number of each type of ball which must be produced and sold in order to maximize the profit.
◦ 3000 of the $2.50 cans and 4000 of the $4.00 cans
◦ 5000 of the $2.50 cans and 3000 of the $4.00 cans
◦ 2000 of the $2.50 cans and 5000 of the $4.00 cans
◦ 4000 of the $2.50 cans and 3000 of the $4.00 cans
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Problem