A computer manufacturer produces three types of computers:laptop, desktop, and tablet The manufacturer has designed theirsupply chain in such a way so that the final assembly of theircomputers entails putting together different quantities of the sameparts. We will assume that the costs for parts unique to the modelhave already been accounted for in the reported per-unit profits,and that inventory levels for these other parts do not change theoptimal allocation. We assume that there are three parts: CPU, RAM,and Hard Drive, each labels, respectively, as part 0, part 1, andpart 2. The manufacturer would like to know how many of each modelit should manufacture so as to maximize their total profit.However, if inventory of the raw materials is left over after saleswithin the planning period, then the manufacturer is charged aper-unit fee for each part. Use this information to construct alinear program and to answer the questions below
What is the set of constraints? (a) a0,0x0 +a0,1x1 + a0,2x2 + a0,3x3 + a0,4x4 ≤ b0 a1,0x0 + a1,1x1 + a1,2x2 +a1,3x3 + a1,4x4 ≤ b1 a2,0x0 + a2,1x1 + a2,2x2 + a2,3x3 + a2,4x4 ≤b2 (b) a0,0x0 + a0,1x1 + a0,2x2 + a0,3x3 ≤ h0a1,0x0 + a1,1x1 + a1,2x2 + a1,3x3 ≤ h1 a2,0x0 + a2,1x1 + a2,2x2 +a2,3x3 ≤ h2 a3,0x0 + a3,1x1 + a3,2x2 + a3,3x3 ≤ h3 a4,0x0 + a4,1x1+ a4,2x2 + a4,3x3 ≤ h4 (c) a0,0x0 + a0,1x1 +a0,2x2 ≤ b0 a1,0x0 + a1,1x1 + a1,2x2 ≤ b1 a2,0x0 + a2,1x1 + a2,2x2≤ b2 a3,0x0 + a3,1x1 + a3,2x2 ≤ b3 (d) a0,0x0 +a0,1x1 + a0,2x2 ≤ h0 a1,0x0 + a1,1x1 + a1,2x2 ≤ h1 a2,0x0 + a2,1x1+ a2,2x2 ≤ h2