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3. [9/17 Points] HARMATHAP121.6.014.NVA A manufacturer of DVD players has weekly fixed costs of $1,560 and variable costs of $11.50 per unit for one particular model. The company sells this model to dealers for $20.50 each. (a) For this model DVD player, write the function for weekly total costs C(X). C(X) = X (b) Write the function for total revenue R(x). R(x) = X (c) Write the function for prot P(x). P(X) = (d) Find C(150). C(150) = Interpret C( 150). 0 When this many DVD players are produced the cost is $150. 0 For every additional DVD player produced the cost increases by this much. This is the cost (in dollars) of producing 150 DVD players. 0 For each $1 increase in cost this many more DVD players can be produced. u! Find R(150). R(150) = x MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Interpret R(150). 0 When this many DVD players are produced the revenue generated is $150. This is the revenue (in dollars) generated from the sale of 150 DVD players. 0 For each $1 increase in revenue this many more DVD players can be produced. 0 For every additional DVD player produced the revenue generated increases by this much. J Find P(150). P(150) = 210 Interpret P(150). O This is the prot (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. 0 For each additional DVD player sold the prot (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 prot (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. 0 For each additional DVD player sold the prot (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. (e) Find C(300). coco) = [:1 Interpret C(300). 0 When this many DVD players are produced the cost is $300. 0 For every additional DVD player produced the cost increases by this much. This is the cost (in dollars) of producing 300 DVD players. 0 For each $1 increase in cost this many more DVD players can be produced. I Hnd R(300) R(300) = Interpret R(300). O 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 300 DVD players. 0 When this many DVD players are produced the revenue generated is $300. 0 For every additional DVD player produced the revenue generated increases by this much. J Hnd P(300) mmm: Interpret P(300). O This is the prot (in dollars) when 300 DVD players are sold, but since it is negative it means that the company loses money when 300 DVD players are sold. 0 For each additional DVD player sold the prot (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 prot (in dollars) when 300 DVD players are sold, and since it is positive it means that the company makes money when 300 DVD players are sold. 0 For each additional DVD player sold the prot (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 prot. (f) Find the marginal prot W\". p: Write a sentence that explains its meaning. 0 When costs are decreased by this much the profit is increased by $1. Each additional DVD player sold increases the prot by this many dollars. 0 When revenue is increased by this much the prot is increased by $1. 0 For each $1 increase in profit this many more DVD players can be produced. V