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19.4 (0) Allie's Apples, Inc. purchases apples in bulk and sells two prod- ucts, boxes of apples and jugs of cider. Allie's has capacity limitations of three kinds: warehouse space, crating facilities, and pressing facilities. A box of apples requires 6 units of warehouse space, 2 units of erating facili- ties, and no pressing facilities. A jug of cider requires 3 units of warchouse space, 2 units of crating facilities, and 1 unit of pressing facilities. The total amounts available each day are: 1,200 units of warehouse space, 600 units of crating facilities, and 250 units of pressing facilities. (a) If the only capacity limitations were on warehouse facilities, and if all warchouse space were used for the production of apples, how many How many boxes of apples could be produced in one day? jugs of cider could be produced each day if, instead, all warehouse space were used in the production of cider and there were no other capacity Draw a blue line in the following graph to represent the warchouse space constraint on production combinations. constraints?

19.4 (0) Allie's Apples, Inc. purchases apples in bulk and sells two prod- ucts, boxes of apples and jugs of cider. Allie's has capacity limitations of three kinds: warehouse space, crating facilities, and pressing facilities. A box of apples requires 6 units of warehouse space, 2 units of erating facili- ties, and no pressing facilities. A jug of cider requires 3 units of warchouse space, 2 units of crating facilities, and 1 unit of pressing facilities. The total amounts available each day are: 1,200 units of warehouse space, 600 units of crating facilities, and 250 units of pressing facilities. (a) If the only capacity limitations were on warehouse facilities, and if all warchouse space were used for the production of apples, how many How many boxes of apples could be produced in one day? jugs of cider could be produced each day if, instead, all warehouse space were used in the production of cider and there were no other capacity Draw a blue line in the following graph to represent the warchouse space constraint on production combinations. constraints?

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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19.4 (0) Allic's Apples, Inc. purchases apples in bulk and sells two prod- ucts, boxes of apples and jugs of cider. Allie's has capacity limitations of three kinds: warehouse space, crating facilities, and pressing facilities. A box of apples requires 6 units of warehouse space, 2 units of crating facili- ties, and no pressing facilities. A jug of cider requires 3 units of warchouse space, 2 units of crating facilities, and 1 unit of pressing facilitics. The total amounts available each day are: 1,200 units of warehouse space, 600 units of crating facilities, and 250 units of pressing facilities. (a) If the only capacity limitations were on warehouse facilities, and if all warchouse space were used for the production of apples, how many boxes of apples could be produced in one day? jugs of cider could be produced each day if, instead, all warehouse space How many were used in the production of cider and there were no other capacity constraints? Draw a blue line in the following graph to represent the warchouse space constraint on production combinations. (b) Following the same reasoning, draw a red line to represent the con- straints on output to limitations on crating capacity. How many boxes of apples could Allie produce if he only had to worry about crating capacity? How many jugs of cider? (c) Finally draw a black line to represent constraints on output combina- tions due to limitations on pressing facilities. How many boxes of apples could Allie produce if he only had to worry about the pressing capac- ity and no other constraints? - How many jugs of cider? (d) Now shade the area that represents feasible combinations of daily production of apples and cider for Allie's Apples. Cider 600 500 400 300 200 100 0 100 200 300 400 500 Аpples 600 (e) Allie's can sell apples for $5 per box of apples and cider for $2 per jug. Draw a black line to show the combinations of sales of apples and cider that would generate a revenue of $1,000 per day. At the profit- maximizing production plan, Allie's is producing boxes of apples and jugs of cider. Total revenues are.
Transcribed Image Text:19.4 (0) Allic's Apples, Inc. purchases apples in bulk and sells two prod- ucts, boxes of apples and jugs of cider. Allie's has capacity limitations of three kinds: warehouse space, crating facilities, and pressing facilities. A box of apples requires 6 units of warehouse space, 2 units of crating facili- ties, and no pressing facilities. A jug of cider requires 3 units of warchouse space, 2 units of crating facilities, and 1 unit of pressing facilitics. The total amounts available each day are: 1,200 units of warehouse space, 600 units of crating facilities, and 250 units of pressing facilities. (a) If the only capacity limitations were on warehouse facilities, and if all warchouse space were used for the production of apples, how many boxes of apples could be produced in one day? jugs of cider could be produced each day if, instead, all warehouse space How many were used in the production of cider and there were no other capacity constraints? Draw a blue line in the following graph to represent the warchouse space constraint on production combinations. (b) Following the same reasoning, draw a red line to represent the con- straints on output to limitations on crating capacity. How many boxes of apples could Allie produce if he only had to worry about crating capacity? How many jugs of cider? (c) Finally draw a black line to represent constraints on output combina- tions due to limitations on pressing facilities. How many boxes of apples could Allie produce if he only had to worry about the pressing capac- ity and no other constraints? - How many jugs of cider? (d) Now shade the area that represents feasible combinations of daily production of apples and cider for Allie's Apples. Cider 600 500 400 300 200 100 0 100 200 300 400 500 Аpples 600 (e) Allie's can sell apples for $5 per box of apples and cider for $2 per jug. Draw a black line to show the combinations of sales of apples and cider that would generate a revenue of $1,000 per day. At the profit- maximizing production plan, Allie's is producing boxes of apples and jugs of cider. Total revenues are.
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