you want to use all of your clay? 250 = x(x 5)2 x = 10 inches dimensions: 10 in x 5 in x 5 in – The price p (in dollars) that a radio manufacturer is able to charge for a radio is given by where x is the number of radios produced in millions. It costs the company $15 to make a radio. Write an expression for the company’s total revenue in terms of x # of radios sold * price charged x(40 4x2) = 40x 4x3 – – Write a function for the company’s profit P by subtracting the total cost to make x radios from the expression in part a revenue cost per radio (40x 4x3) 15x = -4x3 + 25x – – – Currently the company produces 1.5 million radios and makes a profit of $24,000,000. What lesser number of radios can the company produce to still make a profit? 1 million radios ($21 mil) or 2 million radios ($18 mil) CHALLENGE: The profit P (in millions of dollars) for a DVD manufacturer can be modeled by where x is the number of DVDs produced (in millions). Show that 2 million DVDs is the only production level for the company that yields a profit of $96,000,000. Look at the table of values or the graph to see that a relative maximum occurs at x = 2 A platform shaped like a rectangular prism has dimensions (x 2) feet by – (3 2x) feet by (3x + 4) feet. Explain why the volume of the platform cannot – be 7/3 cubic feet. (x 2)(3 2x)(3x + 4) = 7/3 – – The volume cannot be 7/3 because the maximum value of the polynomial is 1.158 at a value of x = 1.76
you want to use all of your clay? 250 = x(x – 5)2 x = 10 inches dimensions: 10 in x 5 in x 5 in The price p (in dollars) that a radio manufacturer is able to charge for a radio is given by where x is the number of radios produced in millions. It costs the company $15 to make a radio. Write an expression for the company’s total revenue in terms of x # of radios sold * price charged x(40 – 4x2) = 40x – 4x3 Write a function for the company’s profit P by subtracting the total cost to make x radios from the expression in part a revenue – cost per radio (40x – 4x3) – 15x = -4x3 + 25x Currently the company produces 1.5 million radios and makes a profit of $24,000,000. What lesser number of radios can the company produce to still make a profit? 1 million radios ($21 mil) or 2 million radios ($18 mil) CHALLENGE: The profit P (in millions of dollars) for a DVD manufacturer can be modeled by where x is the number of DVDs produced (in millions). Show that 2 million DVDs is the only production level for the company that yields a profit of $96,000,000. Look at the table of values or the graph to see that a relative maximum occurs at x = 2 A platform shaped like a rectangular prism has dimensions (x – 2) feet by (3 – 2x) feet by (3x + 4) feet. Explain why the volume of the platform cannot be 7/3 cubic feet. (x – 2)(3 – 2x)(3x + 4) = 7/3 The volume cannot be 7/3 because the maximum value of the polynomial is 1.158 at a value of x = 1.76
D4%20Polynomial%20Word%20Problems%20Practice%20and%20Homework%20ANSWER%20KEY.docx