3. Drexel Office Supply makes two types of staplers: manual and electric. Both staplers use the same spring mechanism, but the manual stapler uses a red cover and a solid metal base, whereas the electric stapler uses a black cover and a clear plastic base. Drexel expects to sell 7,000 manual staplers and 5,000 electric staplers during the next quarter, which is an unusually high demand for them. To meet the demand for the next quarter, Drexel has 500 manufacturing hours available. To meet demand, they will need to outsource some parts. During in-house production, Drexel incurs a fixed cost for setup and a variable cost for manufacturing. For outsourced units, Drexel only incurs a purchase cost. These costs, as well as the manufacturing time per unit for in-house production as given in the table below: Part Fixed Cost Variable Cost Purchase Cost Manufacturing Time per Unit (min.) Spring Mechanism $1,000 $0.40 $0.65 0.9 Red Cover $1,200 $2.90 $3.45 2.2 Black Cover $1,900 $3.15 $3.70 3 Solid Metal Base $1,500 $0.30 $0.50 0.8 Clear Plastic Base $1,500 $0.55 $0.70 1 Help Drexel minimize their total cost of meeting demand.
3. Drexel Office Supply makes two types of staplers: manual and electric. Both staplers use the same spring mechanism, but the manual stapler uses a red cover and a solid metal base, whereas the electric stapler uses a black cover and a clear plastic base. Drexel expects to sell 7,000 manual staplers and 5,000 electric staplers during the next quarter, which is an unusually high demand for them. To meet the demand for the next quarter, Drexel has 500 manufacturing hours available. To meet demand, they will need to outsource some parts. During in-house production, Drexel incurs a fixed cost for setup and a variable cost for manufacturing. For outsourced units, Drexel only incurs a purchase cost. These costs, as well as the manufacturing time per unit for in-house production as given in the table below: Part Fixed Cost Variable Cost Purchase Cost Manufacturing Time per Unit (min.) Spring Mechanism $1,000 $0.40 $0.65 0.9 Red Cover $1,200 $2.90 $3.45 2.2 Black Cover $1,900 $3.15 $3.70 3 Solid Metal Base $1,500 $0.30 $0.50 0.8 Clear Plastic Base $1,500 $0.55 $0.70 1 Help Drexel minimize their total cost of meeting demand.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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