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TheWearever Carpet Company manufactures two brands of carpet - shag and sculptured - in 100-yard lots. It requires 8 hours to produce one lot of shag carpet and 6 hours to produce one lot of sculptured carpet. The company has the following production goals, in prioritized order:
(1)Do not under-utilize production capacity, which is 480 hours.
(2)Achieve product demand of 40 lots for shag and 50 lots for sculptured carpet. Meeting demand for shag is more important than meeting demand for sculptured, by a ratio of 5 to 2.
(3)Limit production overtime to 20 hours. ?
Formulate a goal programming model to determine the amount of shag and sculptured carpet to produce to best meet the company's goals.
An box contains 10 orange balls and 6 red balls. If Vince chooses 9 balls at random from the box, what is the probability that he will select 4 orange balls and 5 red balls?
a total of 26 bills are in a cash box. some of the bills are one-dollar bills, and the rest are five-dollar bills. the total amount of cash in the box is $50. find the number of each type of bill in the cash box.
what is the probability that tourists will see fewer than four lions on the next one day?
the output from a half-wave rectifier is shown in figure 1. the purpose of this circuit is to convert a sinusoidal
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If F is a field, prove that the field of fractions of F[[x]] is the ring F((x)) of formal Laurent series. Show that the field of fractions of the power series ring Z[[x]] is properly contained in the field of Laurent series Q((x)).
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The temperature u in a star of conductivity 2 is inversely proportional to the distance from the center: u=(2/sqrt(x^2+y^2+z^2)). If the star is a sphere of radius 1, find the rate of heat flow outward across the surface of the star.
determine the extreme value of f(x,y) on 0
Can you make a problem and show a complete solution about this topic.
Use differentials to estimate the maximum error in the calculated volume. (Round your answer to the nearest integer.)
A company owns 300 laptops. Each laptop has an 7% probability of not working. You randomly select 20 laptops for your salespeople.
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