Suppose a Ball Manufacturer Produces Soccer Balls, Footballs, and Volleyballs

Suppose a ball manufacturer produces soccer balls, footballs, and volleyballs. The manager feels that restricting the types of balls produced could increase revenue. The following table gives the price of each ball, the raw materials cost, and the profit on each ball. The monthly profit must be at least $40,000, and the raw materials costs must be no more than $50,000. How many of each type of ball should be produced to maximize the revenue? What is the maximum revenue? ​

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A) The maximum revenue is $100,000 when 5,000 volleyballs and no footballs or soccer balls are produced.
B) The maximum revenue is $137,500 when 5,500 soccer balls and no footballs or volleyballs are produced.​
C) The maximum revenue is $165,000 when 5,500 footballs and no soccer balls or volleyballs are produced.
D) The maximum revenue is $150,000 when 5,000 footballs and no soccer balls or volleyballs are produced.
E) The maximum revenue is $125,000 when 5,000 soccer balls and no footballs or volleyballs are produced.