Exam 9: Modeling a Business

The Cacti Company manufactures and sells succulent gardens.The gardens have an expense equation of E = 4.7q + 34,000.The average cost per garden is $12.50 when 2,500 are produced.

In what shape is the graph of a revenue function?

A market research firm was looking to form 45 different pairs of students from a group of students selected randomly.How many students were in that group?

Custom Tees has determined that its variable of producing t-shirts is due to increases in the price of cotton.Their expense function was recently adjusted from E = -1040p + 91,520 to E = -900p + 91,520.If the breakeven point before the adjustment was $16,what will be the net percent change in expenses if the price is left at $16?

The graph shows the supply and demand curves for a Cajun spice mix that Leroy manufactures in a home business.What will happen if Leroy sets the price at $3.99? ​ ​

The zeros of a quadratic function can be found by which of the following methods?

The dashed line represents the expense function,and the solid line represents the revenue function.

A company manufactures and sells cutting boards for $7 wholesale and recommends a markup of $2.70 for a selling price of $4.30.

A startup company selling cell phone cases noticed the following trend in the demand for its product.Find the equation of the demand function.

AAA Dance Shoes makes dancing shoes with leather soles.The shoes cost $29 to manufacturer.The fixed cost for the product line is $45,000.The company has determined their demand function to be q = -200p + 30,000,where p is the price for each pair of shoes.Write the expense and revenue functions in terms of price.

The graph shows the supply and demand for a widget.What happens if the price is set at $25? ​

What is it called when the expenses and the revenue are equal,so there is no profit or loss?

In the revenue equation R = -360p² + 28,800p,what is the highest price that should be set that leads to a revenue of $540,000?

Marsha used a graphing calculator to graph an expense and a revenue function for her family's printing business.The graph looked like the one below.What are the approximate breakeven points? ​

A company that produces lawn chairs uses market surveys and linear regression to develop a demand function based on the wholesale price.The demand function is q = -110p + 7,500.At a price of $45,how many lawn chairs are demanded?

Custom Tees has determined that its expense and revenue functions are E = −1040p + 91,520 and R = -260p² + 15,600p − 108,160.At which price points can the company expect to break even?

Examine the graph below.At what price is the maximum profit? ​

Toby's Tiny Toys have an expense equation of E = 12.45q + 53,900.Toby's sell its toys for $16.50 each,and its revenue equation is R = 16.5q.How many tiny toys does it have to sell to reach its breakeven point?

The price that a manufacturer charges a retailer for an item is the wholesale price.

There are 12,650 ways a teacher can group 4 students in a class that has 25 students.