Question: NORMAL FLOAT RUTO REAL RADIAN MPRed function isGreen function is.Dark red function isBlue function is.A company manufactures microchips. The financial department has determined thefollowing price-demand
NORMAL FLOAT RUTO REAL RADIAN MPRed function isGreen function is.Dark red function isBlue function is.A company manufactures microchips. The financial department has determined thefollowing price-demand function and the corresponding revenue functionp(x)=75-5x, and ,R(x)=xp(x)=x(75-5x)=75x-5x2Where p(x)is the wholesale price per microchip at which x million microchips can be sold and R(x)isinmillions of dollars. Both functions have a domain of0x20.Furthermore, it has been determined that the cost function C(x)=123+9x. Where C(x)is the cost of makingand selling x million microchips and C(x)isin millions of dollars.On your TI graph the price, revenue, cost and profit functions, then answer the following questions:a. Find the number of microchips (x-value) that must be sold to produce the maximum revenue. (2 decimalplaces)b. Find the maximum revenue (3 decimal places)c. What is the wholesale price of the microchips that produces the maximum revenue?d. What are the two x-values where R(x)=C(x)e. Using the given revenue and cost functions, write the profit function in simplified form.f. How many microchips (x-value) must be sold to produce the maximum profit? (2 decimal places)g. What is the maximum profit? (to the nearest thousand)h. For what x-values will the company lose money? (2 decimal places)i. Identify the functions , and p(x)on the graph, the break-even points, and areas ofprofit and loss. (Label areas of profit and loss.)WINDOW USED: x=[0,20] scale of1;y=[0,300] scale of50
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