A manufacturer of DVD players has weekly fixed costs of $1,540 and variable costs of $11.50 per unit for one particular model. The company sells this model to dealers for $18.50 each. (a) For this model DVD player, write the function for weekly total costs C(x). C(x) = (b) Write the function for total revenue R(x). R(x) = (c) Write the function for profit P(x). P(x) = (d) Find C(150). C(150) = Interpret C(150). For each $1 increase in cost this many more DVD players can be produced. When this many DVD players are produced the cost is $150. For every additional DVD player produced the cost increases by this much. This is the cost (in dollars) of producing 150 DVD players. Find R(150). R(150) = Interpret R(150). For every additional DVD player produced the revenue generated increases by this much. When this many DVD players are produced the revenue generated is $150. For each $1 increase in revenue this many more DVD players can be produced. This is the revenue (in dollars) generated from the sale of 150 DVD players. Find P(150). P(150) = Interpret P(150). For each additional DVD player sold the profit (in dollars) increases by this much, but since it is negative it means that the company needs to decrease the number of DVD players sold in order to make a profit. This is the profit (in dollars) when 150 DVD players are sold, but since it is negative it means that the company loses money when 150 DVD players are sold. For each additional DVD player sold the profit (in dollars) increases by this much, but since it is positive it means that the company is producing too many DVD players. This is the profit (in dollars) when 150 DVD players are sold, and since it is positive it means that the company makes money when 150 DVD players are sold. (e) Find C(400). C(400) = Interpret C(400). For each $1 increase in cost this many more DVD players can be produced. For every additional DVD player produced the cost increases by this much. This is the cost (in dollars) of producing 400 DVD players. When this many DVD players are produced the cost is $400. Find R(400). R(400) = Interpret R(400). This is the revenue (in dollars) generated from the sale of 400 DVD players. For every additional DVD player produced the revenue generated increases by this much. For each $1 increase in revenue this many more DVD players can be produced. When this many DVD players are produced the revenue generated is $400. Find P(400). P(400) = Interpret P(400). For each additional DVD player sold the profit (in dollars) increases by this much, but since it is negative it means that the company needs to decrease the number of DVD players sold in order to make a profit. This is the profit (in dollars) when 400 DVD players are sold, but since it is negative it means that the company loses money when 400 DVD players are sold. For each additional DVD player sold the profit (in dollars) increases by this much, but since it is positive it means that the company is producing too many DVD players. This is the profit (in dollars) when 400 DVD players are sold, and since it is positive it means that the company makes money when 300 DVD players are sold. (f) Find the marginal profit MP. MP = Write a sentence that explains its meaning. Each additional DVD player sold increases the profit by this many dollars. When costs are decreased by this much the profit is increased by $1. For each $1 increase in profit this many more DVD players can be produced. When revenue is increased by this much the profit is increased by $1.