MATH- please help!

posted by .

The table below shows the number of hours required in each of two departments to make one unit of various products A, B and C. For example, product B requires 1 hour of time in department I and 3 hours in department II.


HOURS REQUIRED PER UNIT OF PRODUCT

DEPARTMENT 1
A=1
B=1
C=9

DEPARTMENT 2
A=1
B=3
C=7

Find the number of units of A, B, and C which could be made if department I has 75 hours available and Department II has 65 hours available. It is necessary that all of the available hours be used.

  • MATH- please help! -

    Dept. 1.

    75/11h = 6 and 9 remainder.

    A = 1h/u * 6 units = 6h.
    B = 1h/u * 6 units = 6h.
    C = 9h/u * 7 units = 63h.
    Total Units = 6 + 6 + 7 = 19.
    Total Hours = 6 + 6 + 63 = 75.



    Dept #2.

    A = 1h/u * 15 units = 15h.
    B = 3h/u * 5 units = 15h.
    C = 7h/u * 5 units = 35h.
    Total Units = 15 + 5 + 5 = 25.
    Total Hours = 15 + 15 + 35 = 65.




    65/11h = 5, and 10 remainder.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. linear programming

    A manufacturer produces two items, bookcases and library tables. Each item requires processing in each of two departments. Department I has 40 hours available and department II has 36 hours available each week for production. To manufacture …
  2. Math

    The table below shows the number of hours required in each of two departments to make one unit of various products A, B and C. For example, product B requires 1 hour of time in department I and 3 hours in department II. HOURS REQUIRED …
  3. math

    The table below shows the number of hours required in each of two departments to make one unit of various products A, B and C. For example, product B requires 1 hour of time in department I and 3 hours in department II. HOURS REQUIRED …
  4. MATH-PLEASE HELPPP!!!!

    The table below shows the number of hours required in each of two departments to make one unit of various products A, B and C. For example, product B requires 1 hour of time in department I and 3 hours in department II. HOURS REQUIRED …
  5. 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 finishing. …
  6. Math

    Manufacturing A factory manufactures two products, each requiring the use of three machines. The first machine can be used at most hours; the second machine at most hours; and the third machine at most hours. The first product requires …
  7. 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 product …
  8. 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 requires …
  9. 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 unit …
  10. Math

    A Company manufactures two products X and Y by means of two process A and B. The maximum capacity of process A is 17500hours and of process B 400hrs. Each unit of product X requires 3hours in A and 2 Hours in B, while each unit of …

More Similar Questions