Shop A provides 2 hours of cake training, 4 hours of cupcake training and 2 hours of bread training. Shop B provides 6 hours of cake training, 3 hours of cupcake training and 4 hours of bread training. Shop C provides 10 hours of cake training, 9 hours of cupcake training and 11 hours of bread training. Trainers must devote a minimum of 10 hours and a maximum of 36 hours to cake training, a maximum of 24 hours to cupcake training and a minimum of 15 hours to bread training. Shop A costs $85, Shop B costs $145, and shop C costs $175. The head chief aims to maximise the cost while satisfying the requirements of the three trainings respectively. Construct a table showing: ● the number of the elements required for each item the amount of each element available or the minimum requirements of each element. State the objective function and determine the constraints for each element. Produce a labelled graph showing the feasible region. Find the optimal solution by considering the feasible points. Determine the wastage or oversupply of elements for the optimal solution.

Shop A provides 2 hours of cake training, 4 hours of cupcake training and 2 hours of bread training. Shop B provides 6 hours of cake training, 3 hours of cupcake training and 4 hours of bread training. Shop C provides 10 hours of cake training, 9 hours of cupcake training and 11 hours of bread training. Trainers must devote a minimum of 10 hours and a maximum of 36 hours to cake training, a maximum of 24 hours to cupcake training and a minimum of 15 hours to bread training. Shop A costs $85, Shop B costs $145, and shop C costs $175. The head chief aims to maximise the cost while satisfying the requirements of the three trainings respectively. Construct a table showing: ● the number of the elements required for each item the amount of each element available or the minimum requirements of each element. State the objective function and determine the constraints for each element. Produce a labelled graph showing the feasible region. Find the optimal solution by considering the feasible points. Determine the wastage or oversupply of elements for the optimal solution.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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