E 1 6 Austin & Co. manufactures three products using three different machines. Selling price per unit are $20 for produc
Posted: Sun Jul 10, 2022 10:50 am
E 1 6 Austin & Co. manufactures three products using three different machines. Selling price per unit are $20 for product 1, $25 for product 2, and $26 for product 3. The costs/unit of producing each product on each machine are shown in the following table: Product 1 Product 2 Product 3 The company wants to determine how many units of each product to produce to maximize profit (contribution) margin. Let = number of units of product i from machine j; i = 1,2,3 j = 1,2,3 Select the best interpretation for each of the following constraints from the given options: a) 211 +212 +213 ≤ 120 Select an answer b) Select an answer Machine 1 Machine 2 Machine 3 $8.68 $8.85 $4,26 $4.48 $9.77 $10.64 $4.55 $3.85 $3.08 11 +221 +231 > 120 c) 231 232 233 ≤ 12 Select an answer d) 113123133 212 Select an answer e) Select an answer 9) 8.68211 4.482210 Select an answer h) 8.68x11 Select an answer 1) 0.25z11-0.75221 +0.25231 20 f) 0.7511-0.25x12 +0.75213 201 Select an answer k) Select an answer 8.85212 0 (6%) (6%) 2213 +223 ≤0 (9%) (9%) -231 +32 20 i) 15.74213 +14.36223 +22.92r33 25400 Select an answer D) 21.45231 +22.152 +22.9223325400 Seled an answer (8%) (8%) (9%) (9%) ✓ (67) (6%) V V
X31 X32 33 Produce a maximum of 12 units Select an answer Total units of Product 2 and 3 should be greater or equal to 12. Total Production on Machines 2 and 3 should be a maximum of 12. This is not a valid constraint. Total Production on Machine 3 should be greater or equal to 12. Produce a maximum of 12 units more of Product 1 on Machine 3 than Products 2 and 3 combined. Produce a maximum of 12 units more of Product 3 on Machine 1 than on Machines 2 and 3 combined. Produce greater or equal to 12 units more of Product 1 on Machine 3 than Products 2 and 3 combined. Total units of Product 3 should be a maximum of 12. Produce greater or equal to 12 units more of Product 3 on Machine 1 than on Machines 2 and 3 combined. c) - TESSA e) 0.25x11 This is not a valid constraint. - 12 (9%) more of Product 1 on Mac 0.75x21 +0.25x31 ≥ 0
d) X13 12 (9%) Produce a maximum of 12 units more of Product 3 on Machine Select an answer Produce greater or equal to 12 units more of Product 3 on Machine 1 than on Machines 2 and 3 combined. This is not a valid constraint. - f) Produce a maximum of 12 units more of Product 1 on Machine 3 than Products 2 and 3 combined. Total units of Product 2 and 3 should be greater or equal to 12. Total Production on Machines 2 and 3 should be a maximum of 12. Total units of Product 3 should be a maximum of 12 Produce a maximum of 12 units more of Product 3 on Machine 1 than on Machines 2 and 3 combined. Total Production on Machine 3 should be greater or equal to 12. Produce greater or equal to 12 units more of Product 1 on Machine 3 than Products 2 and 3 combined. g) 23 33 0.75x11 Select an answer - - 0.25x12 +0.75x13 ≥ 0 i INDEED 8.68x114.48x210 (8%)
g) 8.68x11 - Select an answer Select an answer For Product 1, the total production cost on Machine 1 should not be below that on Machine 2. On Machine 1, the total cost of producing Product 2 should be no greater than that of Product 1. This is not a valid constraint. i) 4.48x210 The selling price of Product 1 on Machine 3 is zero. The profit from producing Product 3 on Machine 1 is zero. The cost of producing Product 3 on Machine 1 is zero. For Product 1, the total production cost on Machine 2 should not be below that on Machine 1. None of the other options is correct. The cost of Product 11 is higher than that of Product 12. The total cost of producing Product 2 should not be below that of Product 1 on Machine 1. The cost of Product 11 is higher than that of Product 21. Soloot on Onouor 15.74x13 + 14.36x23 +22.92x33 540 (8% H
Co 7.jpg h) 8.68x118.85x12 ≤ 0 Select an answer Select an answer None of the other options is correct. The profit from producing Product 3 on Machine 1 is zero. The cost of Product 11 is higher than that of Product 21. The cost of producing Product 3 on Machine 1 is zero. On Machine 1, the total cost of producing Product 2 should be no greater than that of Product 1. The selling price of Product 1 on Machine 3 is zero. The cost of Product 11 is higher than that of Product 12. The total cost of producing Product 2 should not be below that of Product 1 on Machine 1. This is not a valid constraint. (8%) For Product 1, the total production cost on Machine 2 should not be below that on Machine 1. For Product 1, the total production cost on Machine 1 should not be below that on Machine 2. j) 21.45x31 +22.15x32 +22.92x33 ≥ 5400 Select an answer
C Produce a maximum of 12 units more of Product 3 on Machin 0.25x11 This is not a valid constraint. Select an answer Ensure that no fewer than 25% of products from Machine 1 units are Product 2 Ensure that no greater than 75% of Product 1 units are produced on Machine 2. Ensure that no greater than 75% of products from Machine 1 units are Product 2 Ensure that no greater than 25% of Product 1 units are produced on Machine 2. This is not a valid constraint. e) g) Ensure that no greater than 25% of products from Machine 1 units are Product 2. Ensure that 75% of Product 2 and Product 3 units are produced on Machine 2. Ensure that no fewer than 75% of Product 1 units are produced on Machine 2. Ensure that 25% of products from Machine 1 units are Product 2 and Product 3. 8.68x11 - Select an answer 0.75x21 +0.25x31 ≥ 0 - 4.48x210 (8%)
f) 0.75x11 h) Select an answer Select an answer This is not a valid constraint. Ensure that 25% of products from Machine 1 units are Product 2 and Product 3. Ensure that no greater than 25% of products from Machine 1 units are Product 2. Ensure that no fewer than 75% of Product 1 units are produced on Machine 2. Ensure that no greater than 75% of products from Machine 1 units are Product 2. Ensure that 75% of Product 2 and Product 3 units are produced on Machine 2. Ensure that no fewer than 25% of products from Machine 1 units are Product 2. Ensure that no greater than 25% of Product 1 units are produced on Machine 2. Ensure that no greater than 75% of Product 1 units are produced on Machine 2. - - 0.25x12 +0.75x13 20 8.68x118.85x120 Select an answer (8%
i) 15.74x13 + 14.36x23 +22.92x33 Select an answer Select an answer The total profit margin from from all three products should be at least $5,400 The total profit margin from Product 3 should be at most $5,400 The total profit margin from Product 3 should be at least $5,400 The total profit margin from all machines should be no greater than $5,400 The total profit margin from all products should be at most $5,400 The total profit margin from Machine 3 should be no greater than $5,400 The total profit margin from all three machines should not be below $5,400 The total profit margin from Machine 3 should not be below $5,400 k) - 2x13x23 < 0 Select an answer S (12%) (12%)
D) 41.4031 T 44.132 + 44.9433 T Select an answer Select an answer The total profit margin from Product 3 should be at most $5,400 The total profit margin from all three machines should not be below $5,400 The total profit margin from all products should be at most $5,400 The total profit margin from Machine 3 should not be below $5,400 The total profit margin from all machines should be no greater than $5,400 The total profit margin from Product 3 should be at least $5,400 The total profit margin from Machine 3 should be no greater than $5,400 The total profit margin from from all three products should be at least $5,400 2017
k) - 2x13 - 23 0 Select an answer Select an answer On Machine 3, produce at least half as many units of Product 2 as Product 1. Produce at most twice as many units of Product 1 as Product 2 on Machine 3. For Product 3, produce at least twice more units on Machine 1 than on Machine 2. For Product 3, the ratio of Machine 1 to Machine 2 production must be at least 2 to 1. On Machine 3, the ratio of Product 1 to Product 2 units must be at most 2 to 1. On Machine 3, produce at most twice as many units of Product 1 as Product 2. For each unit of Product 3 from Machine 1, produce at least twice as many on Machine 2. Produce at most half as many units of Product 3 on Machine 2 as on Machine 1. On Machine 3, Product 1 must not exceed twice the units of Product 2. For each unit of Product 3 from Machine 2, produce at least twice as many on Machine 1. On Machine 3, the ratio of Product 1 to Product 2 units must not exceed 2 to 1. On Machine 3, for each unit of Product 2, produce at most two units of Product 1. For Product 3, the ratio of Machine 2 to Machine 1 production must not exceed 1 to 2. Produce at least twice as many units of Product 3 on Machine 1 than on Machine 2. On Machine 3, Product 1 units should not be less than 50% Product 2 units. For Product 3, produce at most half as many units on Machine 2 as on Machine 1. On Machine 3, Product 2 units should not be less than 50% Product 1 units. (12%)
231 +32 2 0 Select an answer Select an answer For each unit of Product 3 from Machine 2, produce at least twice as many on Machine 1. For Product 3, produce at least twice more units on Machine 1 than on Machine 2. On Machine 3, the ratio of Product 1 to Product 2 units must be at most 2 to 1. On Machine 3, for each unit of Product 2, produce at most two units of Product 1. On Machine 3, Product 1 units should not be less than 50% Product 2 units. On Machine 3, produce at most twice as many units of Product 1 as Product 2. On Machine 3, Product 1 must not exceed twice the units of Product 2. On Machine 3, Product 2 units should not be less than 50% Product 1 units. Produce at most twice as many units of Product 1 as Product 2 on Machine 3. Produce at most half as many units of Product 3 on Machine 2 as on Machine 1. Produce at least twice as many units of Product 3 on Machine 1 than on Machine 2. For Product 3, the ratio of Machine 1 to Machine 2 production must be at least 2 to 1. For each unit of Product 3 from Machine 1, produce at least twice as many on Machine 2. On Machine 3, produce at least half as many units of Product 2 as Product 1. For Product 3, produce at most half as many units on Machine 2 as on Machine 1. For Product 3, the ratio of Machine 2 to Machine 1 production must not exceed 1 to 2. On Machine 3, the ratio of Product 1 to Product 2 units must not exceed 2 to 1. be here to search (12%)