Question

A furniture manufacturer sells three types of products: chairs, tables, and beds. Chairs constitute 35% of the company's sales, tables constitute 55% of the sales, and beds constitute the rest. Of the company's chairs, 5% are defective and have to be returned to the shop for minor repairs, whereas the percentage of such defective items for tables and beds are 12% and 8% respectively. Determine the proportion of the company's products that are not defective. Round your result to 2 significant places after the decimal (For example, 0.86732 should be entered as 0.87).

Answer 1

Answer: 0.91 to 2 significant places after the decimal point

Explanation:

Let x = total number of furniture (chair +table +bed)

Number of chair sales = 0.35x

Number of Table sales = 0.55x

Number of Bed sales = 0.1x

For defective items

5% defective chairs = 0.05×0.35= 0.0175x

12% defective tables

=0.12×0.55x=0.066x

8% defective beds = 0.08×0.1= 0.0080

the proportion of the company's products that are defective = 0.0175x + 0.066x + 0.008x= 0.0915x

the proportion of the company's products that are not defective

= x -0.0915= 0.9085

= 0.91 to 2 significant places after the decimal point