Apply Linear Programming to This Problem

question 8

Multiple Choice

Apply linear programming to this problem.A one-airplane airline wants to determine the best mix of passengers to serve each day.Their airplane seats 25 people and flies 8 one-way segments per day.There are two types of passengers: first class (F) and coach (C) .The cost to serve each first class passenger is $15 per segment and the cost to serve each coach passenger is $10 per segment.The marketing objectives of the airplane owner are to carry at least 13 first class passenger-segments and 67 coach passenger-segments each day.In addition,in order to break even,they must at least carry a minimum of 110 total passenger segments each day.Which of the following is one of the constraints for this linear program?

• A)15 F + 10 C => 110
• B)1 F + 1 C => 80
• C)13 F + 67 C => 110
• D)1 F => 13
• E)13 F + 67 C =< (80/200)

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Definitions:

Uncertain Amount

An Uncertain Amount refers to a value or quantity that is not fixed or precisely determined, often due to volatility or incomplete information.

Harmonized Sales Tax (HST)

A combined tax in some Canadian provinces that merges the federal goods and services tax (GST) with the provincial sales tax (PST) into a single value-added tax.

Current Liability

Obligations or debts that a company needs to settle within one year or one business cycle, whichever is longer.

Financial Liability

An obligation to pay money to another party, recorded on a company's balance sheet.