\(\text{A bottle company's costs are }\) \($900\) \(\text{ plus }\) \($0.20\) \(\text{ for each bottle per month.}\)

\(\text{The company receives income of }\) \($2\) \(\text{per bottle.}\)

\(\text{How many bottles must the company sell each month to break even?}\)

\(\text{A carton company's costs are}\) \($3000\) \(\text{ per month plus }\) \($0.40\) \(\text{per carton.}\)

\(\text{The company sells the cartons for }\) \($1.80\) \(\text{ each.}\)

\(\text{How many cartons must the company sell to make a profit of }\)\($500?\)

\(\text{An industrial plant sells items whose costs are }\) \($500\) \(\text{ and }\) \($20\) \(\text{ per item.}\)

\(\text{If the plant sells 1200 items, how much must the plant charge to make a profit of }\) \($29500?\)

\(\text{A company manufactures office chairs.}\)

\(\text{In a month the costs are }\) \($2000\) \(\text{plus}\) \($25\) \(\text{per chair. }\)

\(\text{The company sells 300 chairs at }\) \($55\) \(\text{per chair in a month.}\)

\(\text{What is the profit?}\)

The graph below shows the cost of producing boxes of chocolates and the income received from their sale.

a) Use the graph to determine the number of boxes of chocolates that need to be sold to break even.

b) Use the graph to find the initial cost?

c) When five boxes of chocolates are sold, is a profit or loss made?

d) When one box of chocolates is sold, is a profit or loss made?

e) How much profit or loss is made when five boxes of chocolates are sold?

f) How much loss is made when two boxes of chocolates are sold?

The graph below shows the cost of producing boxes of chocolates and the income received from their sale.

a) What is the gradient of the straight line that represents income?

b) What is the vertical intercept of the straight line that represents income?

c) What is the equation that describes the relationship between income and the number of boxes of chocolates?

d) What is the gradient of the straight line that represents costs?

e) What is the vertical intercept of the straight line that represents costs?

f) What is the equation to describe the relationship between costs and the number of boxes of chocolates?

\(\text{An industrial plant sells items whose costs are }\) \($1200\) \(\text{and}\) \($24\) \(\text{per item.}\)

\(\text{If the plant sells 120 items, how much must the plant charge to break even?}\)

In the adjacent graph, the vertical axis is in dollars and the horizontal axis is the number of cartons of milk produced.

Given that the initial cost is $10, how many cartons must be sold to break even?

\(\text{A manufacturer produces items whose cost are }\) \($200\) \(\text{plus}\) \($40\) \(\text{ for each item. }\)

\(\text{The manufacturer sells the items for }\) \($60.\)

\(\text{How many items must be sold to break even?}\)

\(\text{A manufacturer produces items whose costs are }\) \($480\) \(\text{plus}\) \($20\) \(\text{ for each item.}\)

\(\text{The manufacturer sells the items for}\) \($40\) \(\text{each.}\)

\(\text{The manufacturer had a loss of }\) \($80.\)

\(\text{How many items did he sell?}\)