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Creative Sports Design (CSD) manufactures a standard-size tennis racket and an oversize tennis racket. The firm's rackets are extremely light due to the use of a magnesium-graphite alloy that was invented by the firm's founder. Each standard-size racket uses 0.125 kilograms of the alloy and each oversize racket uses 0.4 kilograms; over the next two-week production period only 80 kilograms of the alloy are available. Each standard-size racket uses 10 minutes of manufacturing time and each oversize racket uses 12 minutes. The profit contributions are $10 for each standard-size racket and $15 for each oversize racket,and 40 hours of manufacturing time are available each week. Management specified that at least 20% of the total production must be the standard-size racket. How many tennis rackets of each type should CSD manufacture over the next two weeks to maximize the total profit contribution? Assume that because of the unique nature of their products, CSD can sell as many rackets as they can produce.
equilateral triangle with 4 cm side is decreasing infinitely by 1/2. Determined total the area of the triangles?
Cutter Enterprises purchased equipment for $72,000 on January 1, 2006. The equipment is expected to have a five-year life, with a residual value of $6,000 at the end of five years.
the probability of a student passing math in the first year university is 75% and passing chemistry is 80%. Passing both is 95% thw what is the probability of a student passing math given that they pass chemistry?
Describe the order of operations and explain how it is used to simplify expressions. Explain specifically the order in which mathematical operations must be performed to correctly simplify an expression.
A bowl is shaped like a hemisphere with diameter 36 cm. A ball with diameter 4 cm is placed in the bowl and water is poured into the bowl to a depth of h centimeters. Find the volume V of water in the bowl. Consider two cases: one in which the bal..
Use the recurrence equation above and strong induction to prove that F(n) =1, where F(n) is the Fibonacci sequence.
An office building worth 6 million dollars when it was completed in 2005 and is being depreciated linearly over 30 years. what is the rate of depreciation and what will be the book value in 2015?
Let S represent the student s score of the final exam. Provide a symbolic rule for the students final percentage score.?
Find the slope and the line through the points (2,8) and (7,3). Find the slope and the y-intercept of the line 9x + 3y =81. On Friday, Shawn drove to the lake in 45 minutes. On Sunday he returned up in 9 less minutes and averaged 12 more miles per h..
A students calculate the density of an element to be 7.78 g/cm3. The density listed on the periodic table is 7.13 g/cm3. Calculate the percent error and identify the element.
What is the annual compound interest rate for an investment modeled by the function y=12*1.18x?
A function of two variables f(x,y) is integrated over the square [0,2] x [-1,1]. ex: integral from 0 to 2 , integral from -1 to 1 f(x,y) dx dy. (I wanted to input integral symbols there but didn't know how).
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