A Company Makes Products a and B from 2 Resources,laborLet X 1 = Demand for as and X 2 = Demand

The Answer of A Company Makes Products a and B from 2 Resources,laborLet X 1 = Demand for as and X 2 = Demand

A Company Makes Products a and B from 2 Resources,laborLet X 1 = Demand for as and X 2 = Demand

The Answer of A Company Makes Products a and B from 2 Resources,laborLet X 1 = Demand for as and X 2 = Demand

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A Company Makes Products a and B from 2 Resources,labor

question 25

Essay

A company makes products A and B from 2 resources,labor and material.The company wants to determine the selling price which will maximize profits.A unit of A costs 30 to make and demand is estimated to be 50 ? 0.09 * Price of A.A unit of B costs 20 to make and demand is estimated to be 30 ? 0.14 * Price of B.The utilization of labor and materials and the available quantity of resources is shown in the table.A reasonable price for the products is between 90 and 140.
$\begin{array}{lrrr}\text { Product } & \text { A } & \text { B } & \text { Avalable resources } \\\hline \text { Labor hr/unit) } & 2 & 4 & 150 \\\text { Material ounces/unit) } & 2 & 8 & 220 \\\text { Manufacturing cost\$/unit) } & 30 & 20 & \\\text { Demand units) } & 50-0.09^{*} \mathrm{P}_{1} & 30-14^{*} \mathrm{P}_{2} &\end{array}$
Let X₁= demand for As and X₂= demand for Bs.Let P₁= price for As and P₂= price for Bs.
The NLP for the problem is:
$\begin{array}{ll}\text { MAX: } & 52.70 \mathrm{P}_{1}-0.09 \mathrm{P}_{1}{ }^{2}+32.80 \mathrm{P}_{2}-0.14 \mathrm{P}_{2}{ }^{2}-2100 \\\text { Subject to: } & \mathrm{X}_{1}-50+0.09 \mathrm{P}_{1}=0 \\& \mathrm{X}_{2}-30+0.14 \mathrm{P}_{2}=0 \\& 2 \mathrm{X}_{1}+4 \mathrm{X}_{2} \leq 150 \\& 2 \mathrm{X}_{1}+8 \mathrm{X}_{2} \leq 220 \\& 90 \leq \mathrm{P}_{1}, \mathrm{P}_{2} \leq 140 \\& \mathrm{X}_{1}, \mathrm{X}_{2} \geq 0 \\& \text { and the solution } \left.\left.\mathrm{P}_{1}, \mathrm{P}_{2}\right)=140.0,117.14\right)\end{array}$
What values should go in cells B3:E18 of the spreadsheet for this problem?
$A company makes products A and B from 2 resources,labor and material.The company wants to determine the selling price which will maximize profits.A unit of A costs 30 to make and demand is estimated to be 50 ? 0.09 * Price of A.A unit of B costs 20 to make and demand is estimated to be 30 ? 0.14 * Price of B.The utilization of labor and materials and the available quantity of resources is shown in the table.A reasonable price for the products is between 90 and 140. \begin{array}{lrrr} \text { Product } & \text { A } & \text { B } & \text { Avalable resources } \\ \hline \text { Labor hr/unit) } & 2 & 4 & 150 \\ \text { Material ounces/unit) } & 2 & 8 & 220 \\ \text { Manufacturing cost\$/unit) } & 30 & 20 & \\ \text { Demand units) } & 50-0.09^{*} \mathrm{P}_{1} & 30-14^{*} \mathrm{P}_{2} & \end{array} Let X1 = demand for As and X2 = demand for Bs.Let P1 = price for As and P2 = price for Bs. The NLP for the problem is: \begin{array}{ll} \text { MAX: } & 52.70 \mathrm{P}_{1}-0.09 \mathrm{P}_{1}{ }^{2}+32.80 \mathrm{P}_{2}-0.14 \mathrm{P}_{2}{ }^{2}-2100 \\ \text { Subject to: } & \mathrm{X}_{1}-50+0.09 \mathrm{P}_{1}=0 \\ & \mathrm{X}_{2}-30+0.14 \mathrm{P}_{2}=0 \\ & 2 \mathrm{X}_{1}+4 \mathrm{X}_{2} \leq 150 \\ & 2 \mathrm{X}_{1}+8 \mathrm{X}_{2} \leq 220 \\ & 90 \leq \mathrm{P}_{1}, \mathrm{P}_{2} \leq 140 \\ & \mathrm{X}_{1}, \mathrm{X}_{2} \geq 0 \\ & \text { and the solution } \left.\left.\mathrm{P}_{1}, \mathrm{P}_{2}\right)=140.0,117.14\right) \end{array} What values should go in cells B3:E18 of the spreadsheet for this problem?$

Definitions:

Union Members

Individuals who have officially joined a labor union, enabling them participation in collective bargaining and other union activities.

Outcome Determination

The process of deciding or establishing the result or consequences of an action, often used in the context of dispute resolution or performance evaluation.

Workplace Outcomes

The results or consequences of particular practices and policies implemented in a work environment.

Unionism

The principles, practices, or system of forming, joining, and operating trade unions to protect and improve workers' rights and conditions.