HELP A.S.A.P. PLEASE: linear programming-maths

posted by .

A company makes tennis and squash rackets. Each tennis racket requires two units of aluminum and one unit of nylon. Each squash racket requires 1.8 units of aluminum and 0.8 units of nylon. The company has 1000 units of aluminum and 800 units of nylon available. The company is not able to manufacture more than 550 rackets in total but must manufacture at least twice as many tennis rackets as squash rackets. The profit on each tennis racket and squash racket is $7 and $9 respectively.

Let and represent the number of each type of racket made in order to maximize profit.


Formulate the above information as a Linear Programming Problem by determining
i. the objective function


ii. the linear constraints

  • HELP A.S.A.P. PLEASE: linear programming-maths -

    The objective function in this case is to calculate the profit.
    s=number of squash rackets (made and) sold.
    t=number of tennis rackets (made and) sold.

    From "The profit on each tennis racket and squash racket is $7 and $9 respectively"
    we can say that the objective function, P(s,t)=7t+9s

    I will show how to compose the two constraints concerning aluminium and nylon.

    "Each tennis racket requires two units of aluminum and one unit of nylon. Each squash racket requires 1.8 units of aluminum and 0.8 units of nylon. The company has 1000 units of aluminum and 800 units of nylon available. "
    This translates to:
    2t+1.8s ≤ 1000,
    2t+0.8s ≤ 800

    I will leave it to you to complete the other constraints

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. algebra II

    I need help solving these types of problems here is one one of them. Can somone show me how to solve them.thanks Production Requirements An electronics company produces transistors, resistors, and computer chips. Each transistor requires …
  2. physics

    a tennis player swings her 1000g racket with a speed of 6.00 m/s. she hits a 60g tennis ball that was approaching her at a speed of 18.0 m/s . the ball rebounds at 43.0 m/s. a)how fast is her racket moving immediately after the impact?
  3. maths urgent

    The cost of 2 badminton rackets and 2 tennis rackets is $240. The cost of 3 tennis and 2 badminton rackets is $300. How much is a tennis racket?
  4. maths help please

    Mike bought 3 tennis and 2 badminton rackets for $300. If he buys 2 badminton and 2 tennis rackets, he pays $240.How much is a tennis racket?
  5. physics

    a 0.055kg tennis ball approaches a tennis racket at 25m/s, stays in contact with it for 0.010s, is reversed in direction leaves the racket at 40m/s. what is the avg force between the racket and ball?
  6. physics

    A man is playing tennis and a tennis ball (m=1.2 kg) approaches his tennis racket with a speed of 8.0 m/s. His racket is in contact with the ball for 2.0 ms and sends the ball flying in the opposite direction with a speed of 6.0 m/s. …
  7. physics

    A tennis ball is struck and departs from the racket horizontally with a speed of 27.7 m/s. The ball hits the court at a horizontal distance of 20.6 m from the racket. How far above the court is the tennis ball when it leaves the racket?
  8. Physics

    A tennis ball is struck and departs from the racket horizontally with a speed of 28.6 m/s. The ball hits the court at a horizontal distance of 18.4 m from the racket. How far above the court is the tennis ball when it leaves the racket?
  9. Physics

    A tennis ball initially moves with a velocity of 27.0 m/s horizontally to the right. A tennis racket strikes the ball, giving it a velocity of 27.0 m/s to the left. Treat the collision as elastic and the ball and racket as particles …
  10. Math

    After spending 2/7 of his money on the tennis racket seen have $14 left how much did the tennis racket cost?

More Similar Questions