Math

A chain saw requires 7 hours of assembly and a wood chipper 3 hours. A maximum of 63 hours of assembly time is available. The profit of $190 on a chain saw and $220 on a chipper. How many of each should be assembled for maximum profit?

  1. 👍
  2. 👎
  3. 👁
  1. number of chain saws --- x
    number of chippers ----- y

    7x + 3y ≤ 63 ---> time inequation

    profit = 190x + 220y

    we need integer values of x and y
    only possible cases from 7x + 3y = 63 :
    (0,21) , (3,14), (6,7), (9,0)

    for (0,21) profit = 0 + 4620 = 4620
    for (3,14) profit = 570 + 3080 = 3650
    for (6,7) profit = 1140 + 1540 = 2680
    for (9,0) profit = 1710+0 =1710

    looks like they should make chippers only, they could make 21 of them for a profit of $4620.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. statistics

    A manufacturer has a maximum of 240, 360, and 180 kilograms of wood, plastic and steel available. The company produces two products, A and B. Each unit of A requires 1, 3 and 2 kilograms of wood, plastic and steel respectively;

  2. math

    April is training for a marathon by running no less than 55 km per week. She runs at an average rate of 10 km per hour. What is the minimum number of hours, h, she should run? 10h ≥ 55; h ≥ 5.5; 5.5 hours 10h ≤ 55; h ≤

  3. Math

    Susie spent 4 1/4 hours on Monday and 3 5/8 hours on Tuesday working on a history project. About how long did she spend working on the project? a. 1 hour b. 7 hours c. 8 hours d. 9 hours Answer: 8 hours I first found the common

  4. The Graphical Method

    A manufacturer produces two models of mountain bikes. Model A requires 5 hours of assembly time and 2 hours of painting time, and Model B requires 4 hours of assembly time and 3 hours of painting time. The maximum total weekly

  1. MATH

    1. A factory manufactures two products, each requiring the use of three machines. The first machine can be used at most 60 hours; the second machine at most 30 hours; and the third machine at most 80 hours. The first product

  2. Math

    The circle graph below shows the number of hours per week of college students spend studying each subject of a college court curriculum art 10 hours PE six hours math nine our English five hours history 13 hours approximately what

  3. Calculus (Derivatives)

    A tray of lasagna comes out of the oven at 200°F and is placed on a table where the surrounding room temperature is 70°F. The temperature T (in °F) of the lasagna is given by the function T(t) = e^(4.86753 - t) + 70, where t is

  4. math

    a manufacturer markets 2 products. each unit of Product A requires 3 hours in the moulding department, 4 hours in the Paint Shop, 1 Hour in Finishing. Each unit of B requires 3 hours in moulding, 2 hours Painting, and 2 hours

  1. Mathematics

    The table represents the number of hours a limousine is rented and the total cost including a flat rental fee in cost per hour. 3 hours $270, 5 hours $410, 7 hours $550, 9 hours $690. What is the meaning of the slope for the data

  2. Mathematics

    A company manufactures two products X and Y by means of two processes A and B. The maximum capacity of process A is 1750 hours and of process B 4000 hours. Each unit of product X requires 3 hours in A and 2 hours in B, while each

  3. Math

    Hello, could someone check my answers please? The Equation; $4.50h = 20.00 shows the cost to play h hours of miniature golf how many hours of golf were played? Answer choices: A: 3 HOURS B:4 HOURS C: 4.8 HOURS D: 6.4 HOURS My

  4. Math

    Manufacturing A factory manufactures two products, each requiring the use of three machines. The first machine can be used at most 70 hours; the second machine at most 40 hours; and the third machine at most 90 hours. The first

You can view more similar questions or ask a new question.