Question

The production constraints for a toy car and truck company are given by the equations and graph of the system of inequalities.

Production Constraints:
Wheels: The company has no more than 360 wheels in stock. Each toy car needs 4 wheels, and each toy truck needs 6 wheels.
Seats: The company has no more than 100 seats in stock. Each toy car needs 2 seats, and each toy truck needs 1 seat.

4x + 6y ≤ 360
2x + y ≤ 100

What is the combined maximum number of toy cars and toy trucks the company can produce?

A) 50
B) 60
C) 70
D) 110

Answer 1

the answer would be 50

Answer 2

The company can produce 30 toy car and 40 toy truck to get a maximum of 70 toys.

Let x represent the number of toy car and y represent the number of toy truck.

The company has no more than 360 wheels in stock. Hence:

4x + 6y ≤ 360  (1)

The company has no more than 100 seats in stock. Hence:

2x + y ≤ 100     (2)

Plotting equations 1 and 2 on geogebra. The solution is at A(30, 40)

The company can produce 30 toy car and 40 toy truck to get a maximum of 70 toys.

Find out more on equations at: https://brainly.com/question/2972832