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(Solved): solve correctly please O1. A retail store stocks three types of shirts \( \mathrm{X}, \mathrm{Y} ...



?solve correctly please
O1.
A retail store stocks three types of shirts \( \mathrm{X}, \mathrm{Y} \) and \( \mathrm{Z} \). These are packed in attrac
O1. A retail store stocks three types of shirts \( \mathrm{X}, \mathrm{Y} \) and \( \mathrm{Z} \). These are packed in attractive cardboard boxes. During a week the store can sell a maximum of 350 shirts of type \( X \) and a maximum of 200 shirts of type \( Y \) and \( Z \). The storage capacity, however, is limited to a maximum of 450 of all types combined. Type \( \mathrm{X} \) shirt fetches a profit of Rs. 3/- per unit, type Y a profit of Rs. 4/- per unit, and type Z a profit of Rs. 2/- per unit. How many of each type the store should stock per week to maximize the total profit? Formulate a mathematical model of the problem. Q2. Considering the following problem: \[ \begin{array}{ll} \text { Maximize } Z= & 50 x_{1}+80 x_{2} \\ \text { subject to: } & x_{1}+x_{2} \leq 20 \\ & 5 x_{1}+2 x_{2} \leq 60 \\ & x_{1} \leq 10 \\ & x_{1}, x_{2} \geq 0 \end{array} \] 1. Trace the constraints in the Coordinate Axes 2. Locate the Feasible Solution Area 3. Calculate \( \mathrm{Z} \) in the Border points (Extreme points) 4. Find the Optimal Solution 5. Write the problem in standard form 6. Calculate Slack or Surplus 7. Which constraints are binding, non-binding? Why?


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Let x = number of type X shirts, y = number of type Y shirts, and z = 1 number of type Z shirts. Objective function: Maximize pr
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