A Filipino dried fish supplier and exporter estimates their sales and formulates their price-demand equation and...

 

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A Filipino dried fish supplier and exporter estimates their sales and formulates their price-demand equation and cost function as follows: p+0.2x = 36 and C(x): = 3x + 18200 (both in Philippine peso) where a represents the number of packs of dried fish sold corresponding to the price (p) per pack. (a) Find the revenue function R(x). (b) Find the profit function P(x). (c) Find the marginal profit function P'(x). (d) Approximate the profit from the 50th pack using marginal profit. (e) How many packs of dried fish should the supplier sell to break even? (Hint: Company's cost and income received from production are equal.) A Filipino dried fish supplier and exporter estimates their sales and formulates their price-demand equation and cost function as follows: p+0.2x = 36 and C(x): = 3x + 18200 (both in Philippine peso) where a represents the number of packs of dried fish sold corresponding to the price (p) per pack. (a) Find the revenue function R(x). (b) Find the profit function P(x). (c) Find the marginal profit function P'(x). (d) Approximate the profit from the 50th pack using marginal profit. (e) How many packs of dried fish should the supplier sell to break even? (Hint: Company's cost and income received from production are equal.)