Question

A computer manufacturer produces three types of computers: laptop, desktop, and tablet The manufacturer has designed their supply chain in such a way so that the final assembly of their computers entails putting together different quantities of the same parts. We will assume that the costs for parts unique to the model have already been accounted for in the reported per-unit profits, and that inventory levels for these other parts do not change the optimal allocation. We assume that there are three parts: CPU, RAM, and Hard Drive, each labels, respectively, as part 0, part 1, and part 2. The manufacturer would like to know how many of each model it should manufacture so as to maximize their total profit. However, if inventory of the raw materials is left over after sales within the planning period, then the manufacturer is charged a per-unit fee for each part. Use this information to construct a linear program and to answer the questions below

Suppose now that the total number of laptops and desktops sold must be greater than the number of tablets sold. Which constraint(s) should we add to reflect this? (a) x0 ≥ x2 x1 ≥ x2 (b) x0 + x1 ≥ x2 (c) x1 ≥ x0 x2 ≥ x0 (d) x1 + x2 ≤ x0

Answer 1

Answer - The correct option must be "c" which is X₁ >= X₀ X₂ => X₀  

Because only Laptop and Desktop have CPU where as all three Desktop, laptop and Tablet have hard drives and RAM. That's why the above constrain fulfill the required target that Total No. of laptops and desktops sold must be greater than the no. of tablets sold