.
Jane & Co. manufactures three products using three different machines. Selling price per unit are $26 for product 1, $27 for product 2, and $28 for product 3. The costs/unit of producing each product on each machine are shown in the following table: Machine 1 $9.74 Product 1 Machine 2 Machine 3 $3.19 $5.07 $4.65 $3.10 $4.58 $9.49 Product 2 $9.22 Product 3 $4.37 The company wants to determine how many units of each product to produce to maximize profit (contribution) margin. Let wij = 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: e) 0.61221 + 0.61222 - 0.39223 8500 Select an answer (6%) j) 23.632C31 + 23.42232 + 18.51233 > 8500 Select an answer f) (9%) 0.39x12 + 0.39X22 - - 0.61232 8500 Select an answer The total profit margin from all products should not exceed $8,500 The total profit margin from all machines should be at most $8,500 The total profit margin from from all three products should not be lower than $8,500 The total profit margin from all three machines should be at least $8,500 The total profit margin from Machine 3 should be at least $8,500 The total profit margin from Product 3 should not be lower than $8,500 The total profit margin from Product 3 should not exceed $8,500 The total profit margin from Machine 3 should be at most $8,500 j) (6%) 23.63x31 + 23.42X32 + 18.51233 8500 Select an answer The total profit margin from Product 3 should not exceed $8,500 The total profit margin from all products should not exceed $8,500 The total profit margin from all three machines should be at least $8,500 The total profit margin from Machine 3 should be at least $8,500 The total profit margin from all machines should be at most $8,500 The total profit margin from from all three products should not be lower than $8,500 The total profit margin from Machine 3 should be at most $8,500 The total profit margin from Product 3 should not be lower than $8,500 k) 2u - 2x31 0 (12%) Select an answer On Machine 1, Product 3 must not exceed twice the units of Product 1. Produce at most half as many units of Product 1 on Machine 1 as on Machine 3. Produce at least twice as many units of Product 1 on Machine 3 than on Machine 1. On Machine 1, the ratio of Product 3 to Product 1 units must be at most 2 to 1. On Machine 1, Product 1 units should not be less than 50% Product 3 units. For Product 1, produce at most half as many units on Machine 1 as on Machine 3. On Machine 1, for each unit of Product 1, produce at most two units of Product 3. Produce at most twice as many units of Product 3 as Product 1 on Machine 1. On Machine 1, produce at most twice as many units of Product 3 as Product 1. For Product 1, produce at least twice more units on Machine 3 than on Machine 1. Produce at most half as many units of Product 1 on Machine 3 as on Machine 1. For each unit of Product 1 from Machine 1, produce at least twice as many on Machine 3. On Machine 1. the ratio of Product 1 to Product 3 units must not exceed 2 to 1. Jane & Co. manufactures three products using three different machines. Selling price per unit are $26 for product 1, $27 for product 2, and $28 for product 3. The costs/unit of producing each product on each machine are shown in the following table: Machine 1 $9.74 Product 1 Machine 2 Machine 3 $3.19 $5.07 $4.65 $3.10 $4.58 $9.49 Product 2 $9.22 Product 3 $4.37 The company wants to determine how many units of each product to produce to maximize profit (contribution) margin. Let wij = 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: e) 0.61221 + 0.61222 - 0.39223 8500 Select an answer (6%) j) 23.632C31 + 23.42232 + 18.51233 > 8500 Select an answer f) (9%) 0.39x12 + 0.39X22 - - 0.61232 8500 Select an answer The total profit margin from all products should not exceed $8,500 The total profit margin from all machines should be at most $8,500 The total profit margin from from all three products should not be lower than $8,500 The total profit margin from all three machines should be at least $8,500 The total profit margin from Machine 3 should be at least $8,500 The total profit margin from Product 3 should not be lower than $8,500 The total profit margin from Product 3 should not exceed $8,500 The total profit margin from Machine 3 should be at most $8,500 j) (6%) 23.63x31 + 23.42X32 + 18.51233 8500 Select an answer The total profit margin from Product 3 should not exceed $8,500 The total profit margin from all products should not exceed $8,500 The total profit margin from all three machines should be at least $8,500 The total profit margin from Machine 3 should be at least $8,500 The total profit margin from all machines should be at most $8,500 The total profit margin from from all three products should not be lower than $8,500 The total profit margin from Machine 3 should be at most $8,500 The total profit margin from Product 3 should not be lower than $8,500 k) 2u - 2x31 0 (12%) Select an answer On Machine 1, Product 3 must not exceed twice the units of Product 1. Produce at most half as many units of Product 1 on Machine 1 as on Machine 3. Produce at least twice as many units of Product 1 on Machine 3 than on Machine 1. On Machine 1, the ratio of Product 3 to Product 1 units must be at most 2 to 1. On Machine 1, Product 1 units should not be less than 50% Product 3 units. For Product 1, produce at most half as many units on Machine 1 as on Machine 3. On Machine 1, for each unit of Product 1, produce at most two units of Product 3. Produce at most twice as many units of Product 3 as Product 1 on Machine 1. On Machine 1, produce at most twice as many units of Product 3 as Product 1. For Product 1, produce at least twice more units on Machine 3 than on Machine 1. Produce at most half as many units of Product 1 on Machine 3 as on Machine 1. For each unit of Product 1 from Machine 1, produce at least twice as many on Machine 3. On Machine 1. the ratio of Product 1 to Product 3 units must not exceed 2 to 1
