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The Speedem-Feedem Airline must decide how many new flight attendants to hire and train over the next six months. The requirements, expressed in attendant-hours needed, are tabled below:
Month
Jan
Feb
March
April
May
June
Hours
8000
9000
10000
12000
It takes a month of training before an attendant may be put on regular flight duty. During that month the trainee requires 100 hours of training by a regular flight attendant so that each trainee reduces the number of regular attendant flight hours by 100. Each regular attendant works up to 150 hours per month and Feedem-Speedem has 60 regular attendants available at the beginning of January. If regular attendant flight hours available exceed the requirements in a given month other duties are assigned and the attendants are not laid off. At the end of each month 10% of the experienced attendants quit or leave to form a start-up. An experienced attendant costs the company $5000 per month in salary and benefits. A trainee costs $2500. Let xt be the number of attendants hired each month where t=1 for January. There are 60 regular attendees and no trainees present at the beginning of January. Formulate and solve the LP to find the least cost values of xt (t=1...6) that satisfy the demand. Don't worry about fractional solutions.
Find the solution of the exact differential equation and show that the integrating factor F(x) is given by the solution of the following differential equation
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Determine the least number of terms of the Maclaurin series required to get an absolute true error of at most 10-6 in the calculation of sin(0.1).
Skew-symmetric matrices
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