Question

This is a TYPE 1 Problem - Use a blank piece of paper for this problem...no other problems should be on that page. You will not get feedback about whether or not it is correct when you submit your result below. You do NOT have to copy the problem at the top. The Wellbuilt Company manufactures two types of wood chippers, economy and deluxe. Each economy chipper requires 3 hours to assemble, 2 hours to paint, and results in $30 of profit. Each deluxe chipper requires 4 hours to assemble, 3 hours to paint, and results in $25 of profit. Today, the company is limit to at most 156 hours of assembly and at most 90 hours of painting. How many of each kind of wood chipper should the sell to maximize profits and what is the maximum profit? Let x be the number of economy wood chippers, and let y be the number of deluxe wood chippers. Let P be profit. To get full credit you must clearly and accurately do all of the following: 1) Write and label the objective function with the write variables. 2) White and label the constraints 3) Create a drawing that shows the shaded feasible region 4) Identify and test all corner points, showing ALL work on how you get them. 5) Write a solution sentence that answers the question and clearly box it. Please enter your only final answer for the maximum profits below, even though it won't be auto-graded. You do NOT have to type up your work. Show that on your paper. If you do not enter any answer or it does not match what is on your work page, your final score for this problem will not count. License Points possible: 20 Unlimited attempts. Submit

Answer 1

ut & y be the number of be the number of economy wood deluxe wood chippers chippeas, Assemble 3 Paint Profit $30 $ 25 816 Max 156 Max 90 3x + 4y < 156 2x + 3y s 90 x70 470 P = 30x + asy Constraints 3x + 4y s 156 2x+ 3y <90 27,0 770 0 39 oly 30 450 52

0 40 Cox Comer points are A(0,0) B(0,30) c(45,0) : P = 30x +254 at A = 30(0) + 25(0) = 30(0) + 25(30) = 30 (45) + 2560) = 0 = 150 = 1350 C s : maximum profit is $ 1350 .: When (x, y) = (45,0)