Question

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Problem #1. A local boutique produced two designs of gowns A and B and has the following materials
available: 18 square meters of cotton, and 20 square meters of silk, and 5 square meters of wool. Design A
requires the following: 3 square meters of cotton, 2 square meters of silk and 1 square meter of wool. Design B
requires the following: 2 square meters of cotton, 4 square meters of silk. If the Design A sells for P1,200 and
Design B for P1,600, how many of each garment should the boutique produce to obtain the maximum amount
of money?​

Answer 1

Step-by-step explanation:

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Problem #1. A local boutique produced two designs of gowns A and B and has the following materials

available: 18 square meters of cotton, and 20 square meters of silk, and 5 square meters of wool. Design A

requires the following: 3 square meters of cotton, 2 square meters of silk and 1 square meter of wool. Design B

requires the following: 2 square meters of cotton, 4 square meters of silk. If the Design A sells for P1,200 and

Design B for P1,600, how many of each garment should the boutique produce to obtain the maximum amount

of money?

Answer 2

Answer:

Garments of design B will give more profit.

Step-by-step explanation:

Given :

The shop has

Cotton : 18 square meters

Silk : 20 square meters

Wool : 5 square meters

Solution :

For design A, required material is

Cotton : 3 square meters

Silk : 2 square meters

Wool : 1 square meters

Therefore,

From available material, 5 Garments of design A are possible

And total profit = 5 x 200 = 1000

Therefore design A gives profit of Rs 1000.

Now Design B requires,

Cotton : 2 square meters

Silk : 4 square meters

Wool : 0 square meters

From available material, 5 garments of design B are possible

And total profit = 5 x 600 = 3000

Therefore, design B gives profit of Rs 3000 which is Rs 2000 more than Design A.

Therefore, Garments of Design B will give more profit.

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