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An automobile manufacturer has assembly plants in Detroit and Cleveland, each of which can assemble cars and trucks. The Detroit plant can assemble at most 800 vehicles in one day at a cost of $1200/car and $2100/truck. The Cleveland plant can assemble at most 500 vehicles in one day at a cost of $1000/car and $2000/truck. A rush order is received for 600 cars and 300 trucks. How many vehicles of each type should each plant produce to fill the order at the least cost?
Convex Sets and Linear Transformations, Prove that the following sets are convex, where E stands for the sum symbol:
Real time application of perimeter of a circle. To evaluate the distance travelled using the number of rotations.
Let X be the number of random numbers selected from {0,1,2,...,9} independently until 0 is chosen. Find the probability mass functions of X and Y = 2X + 1.
Queuing Analysis explained in this solution. The Riverview Clinic has two general practitioners who see patients daily. An average of six patients arrive at the clinic per hour. Each doctor spends an average of 15 minutes with a patient.
Important information about Mathematics - Poisson Distribution, Metal plates are inspected regularly for flaws and average 2 flaws per square yard. Assume a Poisson process is applicable and calculate the probability of getting
Mustafa buys a book that costs $12.50. If the sales tax is 8%, what is the total cost of the book?
The height is 4 feet longer than the length of a shelf. If 20 feet of lumber is abailable for the entire unit, except the back, find the length and height of the unit.
A landscape architect wishes to enclose a rectangular garden on one side by a brick wall costing $30/ft and on the other three sides by a metal fence costing $20/ft. If the area of the garden is 1,500 ft2, find the dimensions of the garden that mi..
We observe the inventory level at the beginning of the next period. Define a period s state to be the period s beginning inventory level. Determine the transition matrix that could be used to model this inventory system as a Markov chain.
Determine whether the given ordered pair is a solution of the system. Solve each system by substitution method
How long does it take to reach 60% of the terminal velocity? (Round your answer to two decimal places.)
A poster is to have an area of 180 in2 with 2 inch margins at the bottom and sides and a 7 inch margin at the top. What dimensions will give the largest printed area?
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