You are the marketing manager of a company called SportsFab that manufactures a wide variety of sporting goods ranging from balls to sports clothes and accessories. Currently, you are developing the marketing plan for one particular ball, which exploits the latest developments in manufacturing technology. The plan is to ship the balls to 4 large sports wholesalers (total freight/documentation costs are estimated at $6 per ball), who then distribute to large sports retailers in the main urban areas of New York, Boston, Chicago, and Miami. The sports wholesalers earns $30 per ball sold to sports retailers. Each new ball costs $42 to manufacture, and will retail at $160 in the US. The retailer has a 30% margin. SportsFab has decided to allocate $25,000 for trade magazine advertising directed to the sports wholesalers. There are also 2 sporting goods trade shows which the organization plans to attend so that it can use point-of-sale material to generate awareness of the new ball among sports retails. Each trade show costs $3,000. End-user advertising has also been budgeted at $30,000. A part-time agent has also been appointed with a salary of $28.000 and this agent earns $72 for each box of balls (with 8 balls in each box) sold to the sports wholesalers. a. Determine the breakeven volume. Please show all your steps by explicitly showing your calculations of the fixed cost, variable cost, and selling price. (11 points) b. If SportsFab produces 5,000 balls, would SportsFab be operating at a loss or at a profit. Justify your answer. (2 points) c. Determine the volume of production needed to achieve a profit of $45,000, given that the fixed cost increased to 91,000 due to increasing spending on advertising. In addition, the contribution margin is now set at $ 28. (2 points)