maths

A factory produces two products A and B using raw materials p and q. It uses 3 units of p and 1 unit of q to produce one unit of A. It uses 1 unit of p and 2 units of q to produce one unit of B. The maximum daily supplies are 330 units of p and 220 units of q. If the profit per unit of A is $3 and the profit per unit of B is $2, what is the maximum total daily profit (in dollars)?

  1. 👍 0
  2. 👎 0
  3. 👁 22
asked by maths
  1. If x units of A are made, and y units of B, then

    3x+y <= 330
    x+2y <= 220

    p(x,y) = 3x+2y

    plug into your favorite linear algebra calculator to find

    maximum p(88,66) = 396

    1. 👍 0
    2. 👎 0
    posted by Steve

Respond to this Question

First Name

Your Response

Similar Questions

  1. accounting

    RC Corp. uses a job order cost accounting system. During the month of April, the following events occurred: (a) Purchased raw materials on credit, $32,000. (b) Raw materials requisitioned: $25,800 as direct materials and $10,500

    asked by Anonymous on December 10, 2011
  2. Accounting

    What is Beer direct materials and raw materials? Raw materials are the basic materials and parts that are to be used in the manufacturing process Raw materials that can be physically and directly associated with the finished

    asked by Kristina on February 6, 2014
  3. accounting

    The following cost data relate to the manufacturing activities of Black Company during the just completed year: Manufacturing overhead costs: Property taxes, factory $ 3,000 Utilities, factory 4,800 Indirect labor 9,900

    asked by sally on September 8, 2012
  4. History

    7.)Which answer correctly explains why most factories were located along the eastern coast? A.)The first factories took over ship building areas B.)Shipping companies were the first to switch to factory building C.)Early factories

    asked by #FreeGucci on March 29, 2016
  5. Math 221

    A distribution center receives shipment of a product from three different factories in the quantities of 60, 30 and 20. Three times a product is selected at random, each time without replacement. Find the probability that (a) all

    asked by Carolyn on September 15, 2014
  6. Math 221 Week3

    A distribution center receives shipment of a product from three different factories in the quantities of 60, 35 and 25. Three times a product is selected at random, each time without replacement. Find the probability that (a) all

    asked by Carolyn on September 15, 2014
  7. Business-Ms. Sue

    Ms. Sue you know how yesterday you and I both worked on the natural resources, capitol, etc. Well I listed some things like cell phones etc. which were not connected with the production of an automobile. This is my assignment:

    asked by Anonymous on February 2, 2011
  8. 8th Grade Science

    There is a connection between photosynthesis and cellular respiration. The products from one provide the raw materials for the other. What products of photosynthesis are starting materials for cellular respiration? A. glucose and

    asked by Lauren on March 6, 2014
  9. science

    need help with what are the raw materials of respiration and their products?

    asked by mary on October 17, 2012
  10. business math 141

    Two machines turn out all the products in a factory, with the first machine producing 45% of the product and the second 55%. The first machine produces defective products 8% of the time and the second machine 9% of the time What

    asked by Taylor on November 12, 2011

More Similar Questions