A Company Wants to Purchase Large and Small Delivery Trucks

question 31

Essay

A company wants to purchase large and small delivery trucks. The company wants to purchase about 10 large and 15 small trucks. Each large truck costs $30,000 and has a 10 ton capacity. Each small truck costs $20,000 and has a 7 ton capacity. The company wants to have about 200 tons of capacity and spend about $600,000.
Based on the following goal programming formulation, associated solution, and spreadsheet model, what formulas should go in cells D6:E6, B9:E9, and B16 of the spreadsheet?
$\begin{array}{|c|l|c|c|c|c|}\hline &{\text { A }} & \text { B } & \text { C } & \text { D } & \text { E } \\\hline 1 & \text { Problem Data } & \text { Large } & \text { Small } & & \\\hline 2 & \text { Cost } & 10 & 7 & & \\\hline 3 & \text { Capacity } & 30 & 20 & & \\\hline 4 & & & & & \\\hline 5 & \text { Goal Constraints } & \text { Large } & \text { Small } & \text { Cost } & \text { Capacity } \\\hline 6 & \text { Actual Amount } & 10 & 15 & 205 & 600 \\\hline 7 & \text { + Under } & 0 & 0 & 0 & 0 \\\hline 8 & \text { - Over } & 0 & 0 & 5 & 0 \\\hline 9 & =\text { Goal } & 10 & 15 & 200 & 600 \\\hline 10 & \text { Target Value } & 10 & 15 & 200 & 600 \\\hline 11 & & & & & \\\hline 12 & \text { Weights } & & & & \\\hline 13 & \text { Under } & 1 & 1 & 1 & 1 \\\hline 14 & \text { Over } & 1 & 1 & 1 & 1 \\\hline 15 & & & & & \\\hline 16 & \text { Objective } & 5 & & & \\\hline\end{array}$

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Definitions:

Income Decreases

A situation where an individual's, household's, or country's income lowers over a period.

$20 Per Month

A fixed sum of money that is paid or received every month, often used in financial agreements or subscriptions.

Budget Line

A visual depiction of every potential pairing of two items that can be bought within a certain budget at constant prices.

Increase In Income

A rise in the amount of money earned or received by an individual or within an economy over a specific period.