Set Up the Linear Programming Problem

question 30

Multiple Choice

Set up the linear programming problem.
-A steel company produces two types of machine dies, part A and part B and is bound by the followingconstraints:∙ Part A requires 1 hour of casting time and 10 hours of firing time.∙ Part B requires 4 hours of casting time and 3 hours of firing time.∙ The maximum number of hours per week available for casting and firing are 100 and 70, respectively.∙ The cost to the company is $0.75 per part A and $3.00 per part B. Total weekly costs cannot exceed $45.00.Let x = the number of part A produced in a week and y = the number of part B produced in a week. Writea system of three inequalities that describes these constraints.

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Definitions:

Point Estimate

A single value or statistic that is used to estimate the value of a population parameter.

Population Proportions

The fraction or percentage of a population that exhibits a specific characteristic or attribute.

Standard Error

The standard deviation of the sampling distribution of a statistic, providing a measure of the precision of the estimated population parameter.

Interval Estimate

An estimate of a population parameter that specifies a range of possible values within which the parameter is expected to lie, often expressed with a level of confidence.