A Company Needs to Purchase Several New Machines to Meet $\quad \mathbf { x } _ { \mathrm { i } } =$

question 26

Essay

A company needs to purchase several new machines to meet its future production needs. It can purchase three different types of machines A, B, and C. Each machine A costs $80,000 and requires 2,000 square feet of floor space. Each machine B costs $50,000 and requires 3,000 square feet of floor space. Each machine C costs $40,000 and requires 5,000 square feet of floor space. The machines can produce 200, 250 and 350 units per day respectively. The plant can only afford $500,000 for all the machines and has at most 20,000 square feet of room for the machines. The company wants to buy as many machines as possible to maximize daily production.
What values would you enter in the Risk Solver Platform (RSP) task pane for the following cells for this Excel spreadsheet implementation of the formulation for this problem?
Objective Cell:
Variables Cells:
Constraints Cells:
Let $\quad \mathbf { x } _ { \mathrm { i } } =$ mumber of machines of type i purchased

$\begin{array}{ll}\text { MAX: } & 200 \mathrm{X}_{1}+250 \mathrm{X}_{2}+300 \mathrm{X}_{3} \\\text { Subject to: } & 2 \mathrm{X}_{1}+3 \mathrm{X}_{2}+5 \mathrm{X}_{3} \leq 20 \\& 80 \mathrm{X}_{1}+50 \mathrm{X}_{2}+40 \mathrm{X}_{3} \leq 500 \\& \mathrm{X}_{1}, \mathrm{X}_{3} \mathrm{X}_{3} \geq 0\end{array}$

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Definitions:

Borderline Personality Disorder

A mental health disorder characterized by pervasive patterns of instability in interpersonal relationships, self-image, and emotions, often resulting in impulsive actions and intense emotional responses.

Treatments

Interventions designed to improve, manage, or cure health problems and diseases.

Histrionic Personality Disorder

A mental disorder characterized by a pattern of excessive emotional expression and attention-seeking behaviors.

Borderline Personality Disorder

A disorder of the mind that manifests through unpredictable mood swings, actions, and social interactions.