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(10) The cost 0 (in dollars) for a company to use q tons of recycled paper in its production process is shown in the table

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(10) The cost 0 (in dollars) for a company to use q tons of recycled paper in its production process is shown in the table below. (1 (tons) 1000 1500 2000 2500 3000 3500 0 (dollars) 1800 1900 2150 2550 3150 3900 (a) Estimate the average rate at which the cost changes as q increases from 1500 to 2000 tons. Remember to include units in your answer. (b) Use your answer to (a) to estimate the cost to the company to use 1800 tons of recycled paper. (c) Do you expect your answer in (b) to be an underestimate or an overestimate? Explain. (d) As an incentive to the c0mpany to use recycled paper, the government is planning to implement a program where the company will be given a xed amount for participating in the program as well as 0.8 dollars per ton of recycled paper it uses. The xed amount it will be given has not yet been determined but it will certainly be at least $1800. How much recycled paper should the cempany use in order to maximize its prot? Circle your answer and explain. (i) None (ii) Between 1000 and 1500 tons (iii) Between 1500 and 2000 tons (iv) Between 2000 and 2500 tons (v) Between 2500 and 3000 tons (vi) Between 3000 and 3500 tons (vii) It cannot be determined from the informatiOn given

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