Math 145 - Calculus I Name Local Linearity - Day 5 1 You work for a company that is ramping up production for a new solar-powered backpack. The total cost C to make :1: backpacks includes both xed costs and variable unit costs. The cost to produce the rst 300 backpacks is $13,300, or in other words C (300) = 13300. 1. What is the average cost per backpack for the rst 300 made? Be sure to include units on your answer. 2. If C (500) = 20100, what is the average cost per backpack for the rst 500 made? Be sure to include units on your answer. 3. Why do you think the average cost is changing, and how would you expect it to change as the number of backpacks you produce increases? 4. The marginal cost for 300 backpacks (denoted as C'(300)) is $38 per item. Explain why this value is different from the average cost to make 300 backpacks. 5. Use the marginal cost at 300 backpacks to estimate the total cost to make 500 backpacks