15. A manufacturer makes both volleyballs and baske requires 2 minutes on the forming machine, and each basketball requires 1 minute. Each volleyball requires 1 minute on the inflating machine, and each basketball requires 1.5 minutes. If the forming machine runs for 40 minutes and the inflating machine runs for 25 minutes, the following system of equations can be used to determine the number of volleyballs and basketballs produced. 2x + y = 40 x +1.5y 25 %3D

15. A manufacturer makes both volleyballs and baske requires 2 minutes on the forming machine, and each basketball requires 1 minute. Each volleyball requires 1 minute on the inflating machine, and each basketball requires 1.5 minutes. If the forming machine runs for 40 minutes and the inflating machine runs for 25 minutes, the following system of equations can be used to determine the number of volleyballs and basketballs produced. 2x + y = 40 x +1.5y 25 %3D

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

100%

15. A manufacturer makes both volleyballs and basketballs. Each volleyball
requires 2 minutes on the forming machine, and each basketball requires 1
minute. Each volleyball requires 1 minute on the inflating machine, and each
basketball requires 1.5 minutes. If the forming machine runs for 40 minutes and
the inflating machine runs for 25 minutes, the following system of equations can
be used to determine the number of volleyballs and basketballs produced.
2x +
y = 40
x +1.5y
25
a. Explain how the system of equations can be used to plan the machine
running time
b. Solve the system by elimination OR substitution. Explain your process in your
own words.

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