Linear Programming Need help with solving this. Thank you A manufacturing plant

Question

Linear Programming

Need help with solving this. Thank you

A manufacturing plant produces two products (X and Y). There are two types of resources needed to produce X and Y: machine resource for machining the product automatically, and human resource (craftsman) for hand finishing. The table below gives the number of minutes required to produce each product: Production capacity: On weekly basis, the manufacturing plant has 40 hours of machine time available and 35 hours of craftsman time. Costs: machine time costs pounds 100 per hour and craftsman time costs pounds 20 per hour. Profits from the products: pounds 200 for X and pounds 300 for Y. Constraints: the plant must produce at least 10 products of X per week for a particular customer. Formulate the problem as a LP, in order find how much of X amid Y to produce per week. You do not need to solve the LP.

Explanation / Answer

Let quantity of X and Y to be produced to maximize profit be x & y respectively.

So, we have to maximize the profit with the given constraints:
So, the LPP is:

Maximize 200x + 300y
subject to:
15x + 20y <= 40
20x + 30y <= 35
x >= 10

Related Questions

Navigate

• Browse (All)
• Browse L
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.