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Maximum profit. A chain store manager has been told by the main office that daily profit, P, is related to the number of clerks working that day, x, according to the function P = -25x2 + 300x. What number of clerks will maximize the profit, and what is the maximum possible profit?
Describe the basic shape of the graph and where it is located in the Cartesian plane. Describe what the graph represents.
Demonstrate your solution for both the number of clerks that will maximize the profit as well as the total maximum profit possible, making sure to include all mathematical work and an explanation for each step.
Analyze why this information is important for managers to know, and explain what could happen if the ideal conditions were not met.
Estimate the mean fill amount of a certain bottle-filling machine to within 0.05 liter. Assume that the population standard deviation is 0.17 liters. How large of a sample is needed to estimate the mean with 95% confidence?
In a carnival game the players selects two coins from a bag containing two silver dollars and six slugs
Ron has 900 meters of fence and wants to enclose a rectangular region that contain four congruent rectangular pens within it. Ron will use all 900 meters of fence to create one large rectangle and four congruent rectangular pens within the larger ..
The gas law for a fixed mass m of an ideal gas at absolute temperature T, pressure P, and volume V is PV=mRT, where R is the gas constant. Show that
f a and h are real numbers, find the following values for the given function
there is a liquid motion due to a doublet of strength μ at the point (0,3α) with its axis along the Y axis.find the velocity potential
Construct a computer simulation model to keep track of the cash flow
obtain generate a random sample of 180 numbers between 1 and 60. you may use a calculator excel or a table of random
A building is 372 feet tall. For a class project, Kari is to make a scale model of the building to place in the front hall display case. The display case is 29 inches tall. Which scale will allow her to make the tallest model that will fit in the ..
The bearing from the Pine Knob fire tower to the Colt Station fire tower is N 65° E, and the two towers are 30 Km apart. A fire spotted by rangers in each tower has a bearing of N 80° E from Pine Knob and S 70°E from Colt Station. Find the distanc..
Quadratic equations may be solved by graphing, using quadratic formula,completing the square, and factoring. What are the pros and cons of each of these methods? When might each method be most appropriate? Which method do you prefer? Explain why?
A car moving at a speed of v mph achieves 24 + 0.1v mpg (miles per gallon) for v between 20 and 60 mph. Your speed as a function of time, t, in hours, is given by v=50(t/t+1). Write an integral that will give the total number of gallons of gas con..
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