What Are the Decision Variables in This Problem

question 11

Essay

What are the decision variables in this problem?
Western Chassis produces high-quality polished steel and aluminum sheeting and two lines of industrial chassis for the rack mounting of Internet routers,modems,and other telecommunications equipment.The contribution margin (contribution toward profit)for steel sheeting is $0.40 per pound and for aluminum sheeting is $0.60 per pound.Western earns $12 contribution on the sale of a Standard chassis rack and $15 contribution on a Deluxe chassis rack.During the next production cycle,Western can buy and use up to 25,800 pounds of raw unfinished steel either in sheeting or in chassis.Similarly,20,400 pounds of aluminum are available.One standard chassis rack requires 16 pounds of steel and 8 pounds of aluminum.A Deluxe chassis rack requires 12 pounds of each metal.The output of metal sheeting is restricted only by the capacity of the polisher.For the next production cycle,the polisher can handle any mix of the two metals up to 4,000 pounds of metal sheeting.Chassis manufacture can be restricted by either metal stamping or assembly operations;no polishing is required.During the cycle no more than 2,500 total chassis can be stamped,and there will be 920 hours of assembly time available.The assembly time required is 24 minutes for the Standard chassis rack and 36 minutes for the Deluxe chassis rack.Finally,market conditions limit the number of Standard chassis racks sold to no more than 1,200 Standard and no more than 1,000 Deluxe.Any quantities of metal sheeting can be sold.

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Definitions:

Rejection Region

The range of values for which the null hypothesis is considered unlikely and is therefore rejected in hypothesis testing.

Wilcoxon Rank Sum Test

The Wilcoxon Rank Sum Test is a non-parametric statistical test used to compare two independent samples to assess if their population mean ranks differ.

Population Distributions

Represents the spread of values, or observations, of a particular variable across an entire population.

Nonparametric Tests

Statistical tests that do not assume a specific distribution for the data, used for analyzing ordinal or nominal data with unknown parameters.