Question

On a particular weekend, the Reef Kitchen shop only makes chicken palau and chilly chicken. To meet its weekend demand, the manager decides that at most a total of 350 serves will be produced. In addition, a major customer’s order of 50 serves of chicken palau must also be supplied. The chef estimates that a serve of chicken palau requires 20 minutes of cooking time, while chilly chicken requires 15 minutes. For the weekend, the shop has 30 hours of cooking time available. The production costs are $2 and $3 for chicken palau and chilly chicken respectively. The manager intends to meet the above requirements at a minimum cost.
Formulate the above as a linear programming problem and solve the problem using the graphical method.

Answer 1

Answer:

Step-by-step explanation:

chicken palau CP

and chilly chicken  CC

CP + CC  ≤ 350

+

CP = 50

CC ≤ 300

CP ≥ 50

CP(20/60) + CC(15/60) ≤ 30

=> 20CP + 15CC ≤ 1800

=> 4CP + 3CC  ≤ 360

CP ≤ 90

CC ≤ 120

2CP  + 3CC  should be minimum

To have minimum cost CP should be maximum

CP = 90