Question

TANAPCALC10 3.4.013. Marginal Cost, Revenue, and Profit for Producing LED TVs The weekly demand for the Pulsar 25 color LED p = 600 - 0.07x (0 ? x ? 12,000) The weekly total cost function associated with manufacturing the Pulsar 25 is given by C(x), where C(x) denotes the total cost: C(x) = 0.000003x^3 - 0.04x^2 + 390x + 75,000 (a) Find the revenue function R. R(x) = 600x - 0.07x^2 Find the profit function P. P(x) = 600x - 0.07x (b) Find the marginal cost function C'. C'(x) = 0.000009x^2 - 0.08x + 390 Find the marginal revenue function R'. R'(x) = -0.14x + 600 Find the marginal profit function P'. P'(x) = -0.000009x^2 + 0.08x - 390.07 (c) Compute the following values. (Round your answers to two decimal places.) C'(1,500) = 290.25 R'(1,500) = 390 P'(1,500) = 117.98 (d) Sketch C(x).

          TANAPCALC10 3.4.013. Marginal Cost, Revenue, and Profit for Producing LED TVs The weekly demand for the Pulsar 25 color LED p = 600 - 0.07x (0 ? x ? 12,000) The weekly total cost function associated with manufacturing the Pulsar 25 is given by C(x), where C(x) denotes the total cost: C(x) = 0.000003x^3 - 0.04x^2 + 390x + 75,000 (a) Find the revenue function R. R(x) = 600x - 0.07x^2 Find the profit function P. P(x) = 600x - 0.07x (b) Find the marginal cost function C'. C'(x) = 0.000009x^2 - 0.08x + 390 Find the marginal revenue function R'. R'(x) = -0.14x + 600 Find the marginal profit function P'. P'(x) = -0.000009x^2 + 0.08x - 390.07 (c) Compute the following values. (Round your answers to two decimal places.) C'(1,500) = 290.25 R'(1,500) = 390 P'(1,500) = 117.98 (d) Sketch C(x).

TANAPCALC10 3.4.013. Marginal Cost, Revenue, and Profit for Producing LED TVs The weekly demand for the Pulsar 25 color LED p = 600 - 0.07x (0 ? x ? 12,000) The weekly total cost function associated with manufacturing the Pulsar 25 is given by C(x), where C(x) denotes the total cost: C(x) = 0.000003x^3 - 0.04x^2 + 390x + 75,000 (a) Find the revenue function R. R(x) = 600x - 0.07x^2 Find the profit function P. P(x) = 600x - 0.07x (b) Find the marginal cost function C'. C'(x) = 0.000009x^2 - 0.08x + 390 Find the marginal revenue function R'. R'(x) = -0.14x + 600 Find the marginal profit function P'. P'(x) = -0.000009x^2 + 0.08x - 390.07 (c) Compute the following values. (Round your answers to two decimal places.) C'(1,500) = 290.25 R'(1,500) = 390 P'(1,500) = 117.98 (d) Sketch C(x).

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