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If the total cost of producing x gimcracks is C(x) = 144 + 40x + x2 how many gimcracks should you make in order to minimize the average cost of a gimcrack? What is the minimum possible average cost?
Explain what the index of a subgroup and a coset of a group are. Also, prove that if N is a subgroup of a group G such that [G: N] = 2, and if "a" and "b" are elements of G,
Use total differentiation to find the approximate change in the demand for your coffee with an increase in income of $5,000, if initially, Y = 40, 000, P = 3.00 and Pc = $3.50.
Let (P) denote the LP problem in SEF, let x be an optimal solution for (P) and y be an optimal solution for its dual (D). Let (P') denote the problem obtained from (P) by adding 5 times its first constraint to its second constraint, and let (D') be t..
How many pizzas would need to sell if you wanted to make a profit greater than $1,595? interpret result.
According to Thomson Financial, through January 25, 2006, the majority of companies reporting profits had beaten estimates (BusinessWeek, February 6, 2006). What is the point estimate of the proportion that fell short of estimates
the stopping distance of a car after the brakes are applied varies directly as the square of the speed r. If a car traveling 30 mph can stop in 50 ft, how many feet will it take the same car to stop when it is traveling 70 mph?
This dataset contains scores in the first and fourth rounds for a sample of 20 golfers who competed in PGA tournaments in 2009. A sports fan suspects that scores in the first round arelower due to less pressure. You are to test whether this is t..
What is the volume of the solid generated by rotating about the x -axis the plane region bounded by y = - x 2, y = 0, x = - 1, and x = 1?
Identify the null hypothesis and the alternative hypothesis. Determine the P-value for the test. Show all work; writing the correct P-value, without supporting work, will receive no credit
Ally earns $2500 per month plus commission of 7%. Her total monthly earnings (P) is represented by P=2500+.07t where (t) equals total sales for the month. What is the equation that represents total monthly earnings (P) if her commission increases ..
Let f be a function that is differentiable for all real numbers. The table gives the values of f and its derivative f' for selected points x in the closed interval -1.5 0 for -1.5
a plane sets off from an airport and flies due east for 120 km then turns to fly due south for 70 km before landing at seddeth. what is the bearing of seddeth from the airport ?
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