An insurance company claims that for x thousand​ policies, its monthly revenue in dollars is given by R(x)=100x and its monthly cost in dollars is given by C(x)=75x+3,750 a. Find the​ break-even point. b. Graph the revenue and cost equations on the same axes. c. From the​ graph, estimate the revenue and cost when x=75

A carpenter's shop has weekly fixed costs of $5,000 associated with the manufacture of bookcases that each cost $200 to produce. Find the cost equation C(x) if x is the number of bookcases produced each week. Input your answer in the form C(x) = mx + b.

Suppose a rumor is spreading that the government plans to give each college student $1000. Asssume that 20 people have heard the rumor as of today and that each day the number of people (past and present) who have heard it triples. Let f(t) be the number of people (past and present) who have heard the rumor at t days since today. a. Find an equation of f. b. How many people (past and present) will have heard the rumor 10 days from now? c. How many people (past and present) will have heard the rumor 15 days from now? Has model breakdown occurred? [Hint: Assume that the population is 112 million.] a. Find an equation of f. f(t) = ¹ b. How many people (past and present) will have heard the rumor 10 days from now? people c. How many people (past and present) will have heard the rumor 15 days from now? people Has model breakdown occurred? A. Model breakdown has occurred because the value for f(15) is greater than the population. B. Model breakdown has not occurred because the value for…

A company selling widgets has found that the number of items sold, x, depends upon the price, p at which 70000 they're sold, according the equation a (0.5p + 1)² Due to inflation and increasing health benefit costs, the company has been increasing the price by $0.06 per month. Find the rate at which revenue is changing when the company is selling widgets at $4 each. Revenue is changing at a rate of dollars per month.