Revenue Function for Electric CarsBell Motors manufactures two models of electric cars. The demand equations giving the relationship between the unit price, p and g, and the number of cars demanded per year, x and y, of Models S1 and S2 ap = 60,000 - 4x - 2yandg = 50,000 - 2x - 4yrespectively.(a) What is the total yearly revenue function R(x, y)?R(x, y) =(b) What is the domain of R?O The set of all x and y satisfying the system of inequalities 4x - 2y s 50,000, 2x - 4y s 60,000, x 2 0, y 2 0.O The set of all x and y satisfying the system of inequalities 4x - 2y s 60,000, 2x - 4y s 50,000, x 2 0, y 2 0.O The set of all x and y satisfying the system of inequalities 4x + 2y s 60,000, 2x + 4y 2 50,000, x 2 0, y 2 0.O The set of all x and y satisfying the system of inequalities 4x + 2y s 50,000, 2x + 4y s 60,000, x 2 0, y 2 0.O The set of all x and y satisfying the system of inequalities 4x + 2y s 60,000, 2x + 4y < 50,000, x 2 0, y 2 0.Sketch the domain R.yy25 00030 00030 00025 00025 00025 000-20 00020 000-domain of R20 00020 00015 00015 000domain of R15 00015 00010 00010 00010 00010 0005000500050005000domain of Rdomain of R5000 10000 15 000 20 000 25 000 30 000500010000 15 000 20 000 25 0005000 10000 15 000 20 000 25 0005000 1000015 000 20000 25 000 30 000(c) Is the point (4,000, 5,000) in the domain of R? Interpret your result. Hint: Show that x = 4,000 and y = 5,000 satisfy the system of inequalities obtained in part (b).When we substitute x = 4,000 and y = 5,000 into each of the inequalities, allof the inequalities are satisfied. The point (x, y) = (4,000, 5,000) isin the domain of R sketched in part (b).(d) What is the total revenue (in millions of dollars) realized by Bell Motors if it sells 4,000 Model Sis and 5,000 Model S2s?million

Name: Revenue Function for Electric CarsBell Motors manufactures two models
Uploaded: 2024-03-05T11:52:21.000Z
Channel: Bartleby
Description: Revenue Function for Electric CarsBell Motors manufactures two models of electric cars. The demand equations giving the relationship between the unit price, p and g, and the number of cars demanded per year, x and y, of Models S1 and S2 ap = 60,000