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The Temporary Help Company must provide secretaries to its clients over the next year on the following estimated schedule: spring, 6000 secretary-days; summer, 7500 secretary-days; fall, 5500 secretary-days; and winter, 9000 secretary-days. A secretary must be trained for 5 days before becoming eligible for assignment to clients. There are 65 working days in each quarter, and at the beginning of the spring season there are 120 qualified secretaries on the payroll. The secretaries are paid by the company and not the client; they earn a salary of $800 a month. During each quarter, the company loses 15% of its personnel (including secretaries trained in the previous quarter). Formulate the problem as a linear-programming problem. (Hint: Use xt as the number of secretaries hired at the beginning of season t, and St as the total number of secretaries at the beginning of season t.)
Fix a modulus m and use the affine cipher with key k1 = (a, b) to encrypt an element x; then encrypt the result with a key k2 = (c, d). What is the resulting cipher
However, they have time to make only a total of 110 pins. If their is $4.90 for each giraffe and $1.25 for each frog, what is their maximum profit?
Next, develop three inequalities utilizing the cook's dietary constraints.
The Mill Mountain Coffee Shop blends coffee on the premises for its customers. It sells three basic blends in 1-pound bags, Special Mountain Dark, and Mill Regular. It uses four different types of coffee to produce the blends - Brazilian, mocha, C..
Show the scatterplot for this data with the least squares regression line. Find R^2. How much of the variation is explained by the regression line?
Question 1: A process is to be monitored with standard values m = 10 and s = 2.5. The sample size is n = 2. (a) Find the center line and control limits for the chart.
What is the independent variable in this study? What are the dependent variables?
Two electrons repel each other with a force of 10-8N. How far apart are they?
Use the 100% rule for objective function coefficients and right hand side ranges where appropriate. Do not run the changed model. Assume that any changes given in a of the problem are the only changes being made in the model
Formulate the linear program based on the data above. Show that the model has a staircase structure. Restate the constraints in terms of cumulative demand and work force; show that the model now has block triangular structure.
Skew-symmetric matrices
What is the probability that the fourth part retrieved from stock is the first defective?
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