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 ? .09 * Price of A.A unit of B costs 20 to make and demand is estimated to be 30 ? .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.
$\begin{array}{rrrr}\text { Product } & \text { A } & \text { B } & \text { Available resources } \\\hline \text { Labor hr/unit) } & 2 & 4 & 150 \\\text { Material ounces/unit) } & 2 & 8 & 220 \\\text { Manufacturing cost } \$ / \text { unit) } & 30 & 20 & \\\text { Demand units) } & 50-0.09^{*} \mathrm{P}_{1} & 30-0.14^{*} \mathrm{P}_{2} &\end{array}$
Let X₁= demand for As and X₂= demand for Bs.Let P₁= price for As and P₂= price for Bs.
Formulate the NLP for this company

Question

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 ? .09 * Price of A.A unit of B costs 20 to make and demand is estimated to be 30 ? .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}{rrrr}\text { Product } & \text { A } & \text { B } & \text { Available resources } \\\hline \text { Labor hr/unit) } & 2 & 4 & 150 \\\text { Material ounces/unit) } & 2 & 8 & 220 \\\text { Manufacturing cost } \$ / \text { unit) } & 30 & 20 & \\\text { Demand units) } & 50-0.09^{*} \mathrm{P}_{1} & 30-0.14^{*} \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.
Formulate the NLP for this company

Quizplus · Accepted Answer

The Answer of 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 ? .09 * Price of A.A unit of B costs 20 to make and demand is estimated to be 30 ? .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. $\begin{array}{rrrr} \text { Product } & \text { A } & \text { B } & \text { Available resources } \ \hline \text { Labor hr/unit) } & 2 & 4 & 150 \ \text { Material ounces/unit) } & 2 & 8 & 220 \ \text { Manufacturing cost } \$ / \text { unit) } & 30 & 20 & \ \text { Demand units) } & 50-0.09^{*} \mathrm{P}_{1} & 30-0.14^{*} \mathrm{P}_{2} & \end{array}$ Let X₁= demand for As and X₂= demand for Bs.Let P₁= price for As and P₂= price for Bs. Formulate the NLP for this company

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