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A manufacturer of DVD players has weekly fixed costs of $1,580 and variable costs of $13.50 per unit for one particular model. The company
A manufacturer of DVD players has weekly fixed costs of $1,580 and variable costs of $13.50 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) 1,580+13.50x Excellent! (b) Write the function for total revenue R(x). R(x)= 18.50x Fantastic job! (c) Write the function for profit P(x). P(x)=5x-1,580 (d) Find C(150). Nice job! C(150)=2,775 X Interpret C(150). O When this many DVD players are produced the cost is $150. This is the cost (in dollars) of producing 150 DVD players. For every additional DVD player produced the cost increases by this much. For each $1 increase in cost this many more DVD players can be produced. That's it! Find R(150). R(150) = 2,775 Amazing job. Interpret R(150). This is the revenue (in dollars) generated from the sale of 150 DVD players. 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. For every additional DVD player produced the revenue generated increases by this much. Find P(150). P(150) = Interpret P(150). 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. 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, but since it is negative it means that the company loses money when 150 DVD players are sold.
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