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 R(x,y) = 2.5x+4y. 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 C(x,y)=x^2-2xy+2y^2. Find the number of each type of ball which must be produced and sold in order to maximize the profit. a. 5000 of the $2.50 cans and 3000 of the $4 cans b. 4000 of the $2.50 cans and 3000 of the $4 cans c. 2000 of the $2.50 cans and 5000 of the $4 cans d.3000 of the $2.50 cans and 4000 of the $4 cans
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 R(x,y) = 2.5x+4y. 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 C(x,y)=x^2-2xy+2y^2. Find the number of each type of ball which must be produced and sold in order to maximize the profit.
a. 5000 of the $2.50 cans and 3000 of the $4 cans
b. 4000 of the $2.50 cans and 3000 of the $4 cans
c. 2000 of the $2.50 cans and 5000 of the $4 cans
d.3000 of the $2.50 cans and 4000 of the $4 cans
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