10. Shannon plans to start up a small business manufacturing baseball caps (for men) of New York Mets. Her initial cost is $4500. Each cap costs $11.99 to manufacture. (a) [2 points] Write a cost function C, where x represents the number of caps manufactured. (b) [2 points] Find the revenue function R if each cap in part (a) sells for $31.99. (c) [5 points] Give the profit function P in simplified form. (d) [6 points] How many caps must be produced and sold for Shannon to earn a profit?