Roedel Electronics produces tablet computer accessories, including integrated keyboard tablet stands that connect a keyboard to a tablet device and holds the device at a preferred angle for easy viewing and typing. Roedel produces two sizes of integrated keyboard tablet stands, small and large. Each size uses the same keyboard attachment, but the stand consists of two different pieces, a top flap and a vertical stand that differ by size. Thus, a completed integrated keyboard tablet stand consists of three subassemblies that are manufactured by Roedel: a keyboard, a top flap, and a vertical stand. Roedel's sales forecast indicates that 7,000 small integrated keyboard tablet stands and 5,000 large integrated keyboard tablet stands will be needed to satisfy demand during the upcoming Christmas season. Because only 500 hours of in-house manufacturing time are available, Roedel is considering purchasing some, or all, of the subassemblies from outside suppliers. If Roedel manufactures a subassembly in-house, it incurs a fixed setup cost as well as a variable manufacturing cost. The following table shows the setup cost, the manufacturing time per subassembly, the manufacturing cost per subassembly, and the cost to purchase each of the subassemblies from an outside supplier.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Roedel Electronics produces tablet computer accessories, including integrated keyboard tablet stands that connect a keyboard to a
tablet device and holds the device at a preferred angle for easy viewing and typing. Roedel produces two sizes of integrated
keyboard tablet stands, small and large. Each size uses the same keyboard attachment, but the stand consists of two different
pieces, a top flap and a vertical stand that differ by size. Thus, a completed integrated keyboard tablet stand consists of three
subassemblies that are manufactured by Roedel: a keyboard, a top flap, and a vertical stand.
Roedel's sales forecast indicates that 7,000 small integrated keyboard tablet stands and 5,000 large integrated keyboard tablet
stands will be needed to satisfy demand during the upcoming Christmas season. Because only 500 hours of in-house
manufacturing time are available, Roedel is considering purchasing some, or all, of the subassemblies from outside suppliers. If
Roedel manufactures a subassembly in-house, it incurs a fixed setup cost as well as a variable manufacturing cost. The following
table shows the setup cost, the manufacturing time per subassembly, the manufacturing cost per subassembly, and the cost to
purchase each of the subassemblies from an outside supplier.
Subassembly
Keyboard
Small top flap
Large top flap
Small vertical stand
Large vertical stand
Setup
Manufacturing
Cost ($) Time per Unit (min.)
1,000
1,200
1,900
1,500
1,500
Need Help? Read It
(X₁1 X₂ X3 X4 X5, Y₁1 Y ₂ Y 31 Y 41 Y5) =
۷۰۰ ۷۵ ۷۶۰ ۷۸۰ ۷۶) - (
0.9
2.2
3.0
0.8
1.0
Manufacturing
Cost per Unit ($)
0.40
2.90
Do you think the new machinery should be purchased?
Yes
No
3.15
0.30
0.55
Purchase Cost
per Unit ($)
0.65
3.45
3.70
(a) Determine how many units of each subassembly Roedel should manufacture and how many units of each subassembly
Roedel should purchase. (Let x; be the number of subassemblies i manufactured by Roedel, and let y; be the number
subassemblies i purchased from outside suppliers, for i = 1, ..., 5.)
0.50
0.70
What is the total manufacturing and purchase cost (in dollars) associated with your recommendation?
$
(b) Suppose Roedel is considering purchasing new machinery to produce large top flaps. For the new machinery, the setup cost
is $3,000; the manufacturing time is 2.5 minutes per unit, and the manufacturing cost is $2.60 per unit. Assuming that the
new machinery is purchased, determine how many units of each subassembly Roedel should manufacture and how many
units of each subassembly Roedel should purchase. (Let x; be the number of subassemblies i manufactured by Roedel, and
let y; be the number subassemblies i purchased from outside suppliers, for i = 1, ..., 5.)
(X1 X2 X3 X4 X5 Y₁1 Y21 Y3 Y4¹ Y5) =
What is the total manufacturing and purchase cost (in dollars) associated with your recommendation?
$
Transcribed Image Text:Roedel Electronics produces tablet computer accessories, including integrated keyboard tablet stands that connect a keyboard to a tablet device and holds the device at a preferred angle for easy viewing and typing. Roedel produces two sizes of integrated keyboard tablet stands, small and large. Each size uses the same keyboard attachment, but the stand consists of two different pieces, a top flap and a vertical stand that differ by size. Thus, a completed integrated keyboard tablet stand consists of three subassemblies that are manufactured by Roedel: a keyboard, a top flap, and a vertical stand. Roedel's sales forecast indicates that 7,000 small integrated keyboard tablet stands and 5,000 large integrated keyboard tablet stands will be needed to satisfy demand during the upcoming Christmas season. Because only 500 hours of in-house manufacturing time are available, Roedel is considering purchasing some, or all, of the subassemblies from outside suppliers. If Roedel manufactures a subassembly in-house, it incurs a fixed setup cost as well as a variable manufacturing cost. The following table shows the setup cost, the manufacturing time per subassembly, the manufacturing cost per subassembly, and the cost to purchase each of the subassemblies from an outside supplier. Subassembly Keyboard Small top flap Large top flap Small vertical stand Large vertical stand Setup Manufacturing Cost ($) Time per Unit (min.) 1,000 1,200 1,900 1,500 1,500 Need Help? Read It (X₁1 X₂ X3 X4 X5, Y₁1 Y ₂ Y 31 Y 41 Y5) = ۷۰۰ ۷۵ ۷۶۰ ۷۸۰ ۷۶) - ( 0.9 2.2 3.0 0.8 1.0 Manufacturing Cost per Unit ($) 0.40 2.90 Do you think the new machinery should be purchased? Yes No 3.15 0.30 0.55 Purchase Cost per Unit ($) 0.65 3.45 3.70 (a) Determine how many units of each subassembly Roedel should manufacture and how many units of each subassembly Roedel should purchase. (Let x; be the number of subassemblies i manufactured by Roedel, and let y; be the number subassemblies i purchased from outside suppliers, for i = 1, ..., 5.) 0.50 0.70 What is the total manufacturing and purchase cost (in dollars) associated with your recommendation? $ (b) Suppose Roedel is considering purchasing new machinery to produce large top flaps. For the new machinery, the setup cost is $3,000; the manufacturing time is 2.5 minutes per unit, and the manufacturing cost is $2.60 per unit. Assuming that the new machinery is purchased, determine how many units of each subassembly Roedel should manufacture and how many units of each subassembly Roedel should purchase. (Let x; be the number of subassemblies i manufactured by Roedel, and let y; be the number subassemblies i purchased from outside suppliers, for i = 1, ..., 5.) (X1 X2 X3 X4 X5 Y₁1 Y21 Y3 Y4¹ Y5) = What is the total manufacturing and purchase cost (in dollars) associated with your recommendation? $
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