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Cost, Revenue, and Profit Functions Linear Function: A calculator manufacturer is calculating their monthly cost, revenue,...

Cost, Revenue, and Profit Functions

Linear Function:

A calculator manufacturer is calculating their monthly cost, revenue, and profit

The monthly cost of manufacturing particular type of calculator is C(x) = 150000+25x.

a) What is the fixed cost?

b) what is the variable cost?

c) What is the cost for making 2000 calculators per month?

d) What is the cost for making 5000 calculators per month?

e) What is the cost for making 10000 calculators per month?

The manufacturer sells the calculator for $59.95.

Write the Revenue function from the sales of the calculator.

a) What would be the revenue if they sell only 1 calculator?

b)What would be the revenue if they sell 2000 calculators?

c)What would be the revenue if they sell 5000 calculators?

d) What would be their revenue if they sell 10000 calculators?

Write the profit function of the calculator.

a) What would be the profit or loss for selling 1 calculator?

b) What would be the profit or loss for selling 2000 calculators per month?

c) What would be the profit or loss for selling 5000 calculators per month?

d) What would be the profit or loss for selling 10000 calculators per month?

Write the cost, revenue, and profit functions below...

Find the Break even point for the sales (The point where cost equals revenue, no profit no loss)

Graph cost, revenue, and profit functions on the same axis (on same graph paper).

a) From the graph determine how many calculators the manufacturer must sell to break-even. (R=C or p=0)

b) Determine how many calculators the manufacturer must sell to make $200000 profit.

From the graph?

From the Profit function?

c) Determine how many calculators the manufacturer must sell per month to make $500000 profit.

From the graph?

From the Profit function?

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