Question

A company makes two products, A and B. Product A requires 12,5 hours of machining time and 30 minutes of finishing time per unit. Product B requires 10 hours of machining time and one hour of finishing time per unit. There are 10000 hours and 600 hours available for machining and finishing respectively. Severe material shortages for the two products will limit their production to a maximum of 700 units for product A and 400 units for product B per day. If x and y are the number of units of product A and B produced per day respectively, choose the system of inequalities that describes the process.

Answer 1

The system of inequalities that describes the process is 12.5x + 10y ≤ 10000 and 0.5x + y ≤ 600

Inequality

Inequality is an expression that shows the non equal comparison of two or more variables and numbers.

Let x represent the number of products A and y represent the amount of product B, hence:

12.5x + 10y ≤ 10000 (1)

Also:

0.5x + y ≤ 600  (2)

The system of inequalities that describes the process is 12.5x + 10y ≤ 10000 and 0.5x + y ≤ 600

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