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A toy manufacturer makes lightweight balls for indoor play. The large basketball uses 4 ounces of foam and 20 minutes of labor and brings in a profit of $2.50. The football uses 3 ounces of foam and 30 minutes of labor and brings a profit of $2. The manufacturer has 48 pounds of foam and 120 labor- hours a week. Use the simplex method to determine the optimal production schedule so as to maximize profits. Show that the geometric method gives the same solution.
Prepare a Flexible Budget Gator Divers is a company that provides diving services such as underwater ship repairs to clients in the Tampa Bay area.
Angular speed and linear speed - A bicycle wheel with a 26 inch radius is spinning at a rate of 4 revolutions per second.
Find Probability -Length of Machine Produced Metal Strips. Length of metal strips produced by a machine are normally distributed with mean length of 150 cm
Let f (x,x',x"). Be a function of independent variables x, its first derivative x', and its second derivative xo. Write down an Euler-Lagrange expression for this function.
Use taylor series expansion to find the given variables.
Write the matrix of T in the standard basis of C^3. Find all eigenvalues of T. Is there a basis of C^3 such that the matrix of T in that basis is diagonal? If your answer is "NO", explain why.
Construct a tree diagram to represent this situation. A mini license plate for a toy car must consist of a vowel followed by two numbers. Each number must be a 3 or 7.
The slope of the tangent line.
Find the tangential and normal components of the position vector p(t) =
Use the Newton-Raphson method of finding roots of equations to find the minimum number of computers that need to be sold to make a profit. Conduct three iterations to estimate the root of the above equations.
The excursion boat Holiday travels 35 km upstream and then back again in 4 hours and 48 minutes. The speed of the Holiday in still water is 15 km/h, what is the speed of the current.
A system consists of three subsystems in parallel (assume operating redundancy). The individual subsystem reliabilities are as follows:
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