Range Rider Industries manufactures chairs and tables that are in high demand by local office furniture stores.Following is information for each of these products: Range Rider has 900 machine hours available each month.The demand for chairs is 560
A)562 tables and 0 chairs
B)340 tables and 222 chairs
C)340 tables and 560 chairs
D)562 chairs and 0 tables

Question

Range Rider Industries manufactures chairs and tables that are in high demand by local office furniture stores.Following is information for each of these products:  Range Rider has 900 machine hours available each month.The demand for chairs is 560
A)562 tables and 0 chairs 
B)340 tables and 222 chairs 
C)340 tables and 560 chairs 
D)562 chairs and 0 tables

Quizplus · Accepted Answer

To determine the best choice, we need to find out how many chairs and tables can be produced within the available 900 machine hours. Let's assume it takes 2 machine hours to produce a chair and 3 machine hours to produce a table.

For chairs:
    560 chairs * 2 machine hours/chair = 1120 machine hours

For tables:
    Let's say we produce x tables.
    x tables * 3 machine hours/table = 3x machine hours
    
We know that the total machine hours available is 900, so we can set up the following inequality to find x:

1120 machine hours + 3x machine hours ≤ 900 machine hours
    
Simplifying and solving for x, we get:

x ≤ (900 - 1120)/3
    x ≤ -73.33

Since we cannot produce a negative number of tables, we need to round down to the nearest whole number. This means we can produce 73 tables.

Therefore, the best choice is option B: 340 tables and 222 chairs. This combination uses exactly 900 machine hours and meets the demand for chairs while maximizing the number of tables produced.

Range Rider Industries Manufactures Chairs and Tables That Are in High