2. Understanding Technical Concepts a) A company produces and sells chocolate candies per day. Their revenue, R(x), cost

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2 Understanding Technical Concepts A A Company Produces And Sells Chocolate Candies Per Day Their Revenue R X Cost 1 (32.54 KiB) Viewed 31 times

2. Understanding Technical Concepts a) A company produces and sells chocolate candies per day. Their revenue, R(x), cost, C(x), and profit, P(x), are in dollars. 1. Suppose that R'(5000) = $0.75 and C (5000) = $0.50. Is = = 5000 the optimal production level (the production level that maximize profit) for this company? (Justify your answer.) 1. Suppose that R' (5000) = $0.75 and C"(5000) - $0,50. Should this company produce more, less, or the same number of chocolate candy per day? (Justify your answer.) til. If R(5000) = $6250 and C(5000) = 84000, what is the estimated profit from producing and selling the 5001-st chocolate candy? (.e., P(5001) =>?) b) A company produces and sells z lithium batteries per week. Their revenue, R(x), cost, C(x), and profit, P(x), are in dollars. 1. Suppose that R* (2500) = $1.15 and C (2500) = $1.25. Is u = 2500 the optimal production level (the production level that maximizes profit) for this company? (Justify your answer.) Hi. Suppose that I (2500) = $1.15 and C (2500) = $1.25. Should this company produce more, less, or the same number of lithium batteries per week? (Justify your answer.) Ill. If R(2500) - $8125 and C(2500) = $8250, what is the estimated profit from producing and selling the 2501-st lithium battery? (h.e., P(2501) = ?)