6. A company has fixed costs of $15,000 and it production costs are $120 per item. Demand for the product, is given by * = 370-p.where x is the number of items that will sell for a price of Sp per item. 2. 12 par Find equations for cost, revenue, and profit as a function of number of iter items b. per Find the average rate of change in profit fron x = 50 to x = 100. Write a sentence describing what the value means for the company c. pe Find and simplify the equation for the marginal profit d. oper Find P'(100) and P'(160), and write a sentence describing what each of these values mean for the company e per Based on your answer to part d, at a production level of 100 units, does it make sense to raise or lower the price? Explain how your answer to part d helps you make this decision