SOLUTION: a company manufactures machines. Demand for them is given by the declining linear equation: P= $4560-$12x, where P = market price the buyers will pay for quantity supplied (produce

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Question 941539: a company manufactures machines. Demand for them is given by the declining linear equation: P= $4560-$12x, where P = market price the buyers will pay for quantity supplied (produced) x. revenue = market price times quantity produced. cost include fixed cost $45,678 and variable cost $123 per unit produced.
A. write and graph the revenue and cost equations.
B. shade the profit region, graphically estimating maximum profit and the two limits of profitable production.
******* can someone give me a step by step guide, because the teacher is working faster than I can keep up, so when I leave the class I feel alone and like he doesn't care.*******

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
a company manufactures machines. Demand for them is given by the declining linear equation:
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P= $4560-$12x, where P = market price the buyers will pay for quantity supplied (produced) x.

Revenue = market price times quantity produced.
R = (4560-12x)x = 4560x - 12x^2
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cost includes fixed cost $45,678 and variable cost $123 per unit produced.
C = 45678 + 123x
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A. write and graph the revenue and cost equations.
Revenue quadratic and Cost line::::
graph%28400%2C400%2C-100%2C100%2C-10%2C70000%2C4560x-12x%5E2%2C45678%2B123x%29
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B. shade the profit region, graphically estimating maximum profit and the two limits of profitable production.
Profit = [Revenue - Cost] = -12x^2 +4437x-45678
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Cheers,
Stan H.