math

posted by .

a clothing manufacturer has 100m of silk and 180 m of wool. to make a suit requires 2m of silk and 3m of wool and to make a dress requires 1m of silk and 2m of wool. if the profit on a suit is 108$ and the profit on a dress is 60$ how many suits and dresses should be made to maximize profit?

This looks like a problem in 'linear programming'

let s represent the number of suits and d the number of dresses.

then 2s + d <= 100 and 3s + 2d <= 180
a d vs
graph these two inequations with s and d as the axes forming a polygon with the s and d axes.

Now consider the equation Profit = 108s + 60d

Shift this equation away from the origin into the first quadrant, until the line p=108s+60d reaches the farthest vertex from the origin of your polygon.

Your polygon only has one vertex in the interior region of the first quadrant, I think it is s=20 and d=30 for a maximum profit of $3960

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. science project

    what fibers absorb the most fluid?diaper,chamois,cotton,wool,silk,rayon
  2. ks3 textiles

    i need help with my textile homework. i need to say why silk is more expensive than wool, why silk is stronger than wool and why wool is warmer than silk. any ideas where i can find some info i`ve looked myself but found nothing that …
  3. textiles

    does anyone know if silk is stronger than wool , why is wool warmer than silk and why silk is more expensive than wool. thankyou
  4. design technology

    i`m finding it hard to find the answers to these questions for my homework . i know these questions have been asked before but i can`t find the answers from the websites people have been kind enough to find. Why is wool warmer than …
  5. MATH

    A garment company makes two types of woolen sweaters and can produce a max of 700 sweaters per week. Each sweater of the first type requires 2 pounds of green wool and 4 pounds of pink wool to produce a single sweater. The second type …
  6. w.g

    through out india cottage industries make: A)fine silk material and silk clothing B)computer software C)**jewerly, woodcarving, and cloth D)ships
  7. data management grade 12

    A clothing manufacturer has 100m of silk and 180m of wool. To make a suit requires 2m of silk and 3m of wool, and to make a dress requires 1m of silk and 2m of wool. If the profit on a suit is $108 and the profit on a dress is $60, …
  8. Art

    Prior to the arrival of the Spanish, Native Americans would likely have chosen which material with which to weave their blankets?
  9. Art

    Prior to the arrival of the Spanish, Native Americans would likely have chosen which material with which to weave their blankets?
  10. PHYSICS

    A person's body is covered with 1.28 m2 of wool clothing. The thickness of the wool is 2.07 × 10-3 m. The temperature at the outside surface of the wool is 13.8 °C, and the skin temperature is 34.6 °C. How much heat per second does …

More Similar Questions