The following function represents the production cost f(x), in dollars, for x number of units produced by company 1: f(x) = 0.15x2 − 6x + 400

The following table represents the production cost g(x), in dollars, for x number of units produced by company 2:

xg(x)
5075
6060
7055
8060
9075

Based on the given information, determine which company has a lower minimum and find the minimum value.

The perimeter of a rectangular lot of land is 436 ft. this includes an easement of x feet of uniform width inside the lot on which no building can be done. if the buildable area is 122 ft by 60 ft, determine the width of the easement. select one: a. 9 feet b. 18 feet c. 4.5 feet d. 7 feet

Find the area of the region that is inside r=3cos(theta) and outside r=2-cos(theta). sketch the curves.

Unaware that 35% of the 10000 voters in his constituency support him, a politician decides to estimate his political strength. a sample of 200 voters shows that 40% support him. a. what is the population? b. what is the parameter of interest? state its value c. what is the statistics of the interest? state its value d. compare your answers in (b) and (c) is it surprising they are different? if the politician were to sample another 200 voters, which of the two numbers would most likely change? explain