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A school fund-raising group sells chocolate bars to help finance a swimming pool for their physical education program. The group finds that when they set their price at x dollars per bar (where 0 < x < 5), their total sales revenue (in dollars) is given by the function R(x) = -600x² + 3600x. (A graphing calculator is recommended.) (a) Evaluate R(2) and R(4). R(2) = $ R(4) = $ What do these values represent? O R(2) and R(4) represent their total expenses when their prices are $2 and $4 per bar respectively. O R(2) and R(4) represent their total expenses when their expenses are $2 and $4 per bar respectively. O R(2) and R(4) represent their total profits when their prices are $2 and $4 per bar respectively. O R(2) and R(4) represent their total sales revenue when their prices are $2 and $4 per bar respectively. R(2) and R(4) represent their total profits when their profits are $2 and $4 per bar respectively. (b) Use a graphing calculator to draw a graph of R. R 5000- 5000 4000 4000 3000 3000 2000- 2000 1000 1000 R R 5000 5000 4000 4000 3000- 3000 2000 2000 1000 1000 What does the graph tell us about what happens to revenue as the price increases from 0 to 5 dollars? There is a steady increase in sales revenue as the price increases. There is an increase in profit until it reaches a peak then there is a decrease in profit. There is an increase in profit until it reaches a peak then there is a decrease in profit until it reaches a low. Finally, there is an increase in profit. There is a decrease in sales revenue until it reaches a low then there is an increase in revenue. There is an increase in sales revenue until it reaches a peak then there is a decrease in revenue. (c) What is the maximum revenue? R = $ At what price is the maximum revenue achieved? x = $

A school fund-raising group sells chocolate bars to help finance a swimming pool for their physical education program. The group finds that when they set their price at x dollars per bar (where 0 < x < 5), their total sales revenue (in dollars) is given by the function R(x) = -600x² + 3600x. (A graphing calculator is recommended.) (a) Evaluate R(2) and R(4). R(2) = $ R(4) = $ What do these values represent? O R(2) and R(4) represent their total expenses when their prices are $2 and $4 per bar respectively. O R(2) and R(4) represent their total expenses when their expenses are $2 and $4 per bar respectively. O R(2) and R(4) represent their total profits when their prices are $2 and $4 per bar respectively. O R(2) and R(4) represent their total sales revenue when their prices are $2 and $4 per bar respectively. R(2) and R(4) represent their total profits when their profits are $2 and $4 per bar respectively. (b) Use a graphing calculator to draw a graph of R. R 5000- 5000 4000 4000 3000 3000 2000- 2000 1000 1000 R R 5000 5000 4000 4000 3000- 3000 2000 2000 1000 1000 What does the graph tell us about what happens to revenue as the price increases from 0 to 5 dollars? There is a steady increase in sales revenue as the price increases. There is an increase in profit until it reaches a peak then there is a decrease in profit. There is an increase in profit until it reaches a peak then there is a decrease in profit until it reaches a low. Finally, there is an increase in profit. There is a decrease in sales revenue until it reaches a low then there is an increase in revenue. There is an increase in sales revenue until it reaches a peak then there is a decrease in revenue. (c) What is the maximum revenue? R = $ At what price is the maximum revenue achieved? x = $

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A school fund-raising group sells chocolate bars to help finance a swimming pool for their physical education program. The group finds that when they set their price at x dollars per bar (where 0 < x < 5), their total sales revenue (in dollars) is given by the function R(x) = -600x² + 3600x. (A graphing calculator is recommended.) (a) Evaluate R(2) and R(4). R(2) = $ R(4) = $ What do these values represent? O R(2) and R(4) represent their total expenses when their prices are $2 and $4 per bar respectively. O R(2) and R(4) represent their total expenses when their expenses are $2 and $4 per bar respectively. O R(2) and R(4) represent their total profits when their prices are $2 and $4 per bar respectively. O R(2) and R(4) represent their total sales revenue when their prices are $2 and $4 per bar respectively. R(2) and R(4) represent their total profits when their profits are $2 and $4 per bar respectively. (b) Use a graphing calculator to draw a graph of R. R 5000- 5000 4000 4000 3000 3000 2000- 2000 1000 1000 R R 5000 5000 4000 4000 3000- 3000 2000 2000 1000 1000 What does the graph tell us about what happens to revenue as the price increases from 0 to 5 dollars? There is a steady increase in sales revenue as the price increases. There is an increase in profit until it reaches a peak then there is a decrease in profit. There is an increase in profit until it reaches a peak then there is a decrease in profit until it reaches a low. Finally, there is an increase in profit. There is a decrease in sales revenue until it reaches a low then there is an increase in revenue. There is an increase in sales revenue until it reaches a peak then there is a decrease in revenue. (c) What is the maximum revenue? R = $ At what price is the maximum revenue achieved? x = $
Transcribed Image Text:A school fund-raising group sells chocolate bars to help finance a swimming pool for their physical education program. The group finds that when they set their price at x dollars per bar (where 0 < x < 5), their total sales revenue (in dollars) is given by the function R(x) = -600x² + 3600x. (A graphing calculator is recommended.) (a) Evaluate R(2) and R(4). R(2) = $ R(4) = $ What do these values represent? O R(2) and R(4) represent their total expenses when their prices are $2 and $4 per bar respectively. O R(2) and R(4) represent their total expenses when their expenses are $2 and $4 per bar respectively. O R(2) and R(4) represent their total profits when their prices are $2 and $4 per bar respectively. O R(2) and R(4) represent their total sales revenue when their prices are $2 and $4 per bar respectively. R(2) and R(4) represent their total profits when their profits are $2 and $4 per bar respectively. (b) Use a graphing calculator to draw a graph of R. R 5000- 5000 4000 4000 3000 3000 2000- 2000 1000 1000 R R 5000 5000 4000 4000 3000- 3000 2000 2000 1000 1000 What does the graph tell us about what happens to revenue as the price increases from 0 to 5 dollars? There is a steady increase in sales revenue as the price increases. There is an increase in profit until it reaches a peak then there is a decrease in profit. There is an increase in profit until it reaches a peak then there is a decrease in profit until it reaches a low. Finally, there is an increase in profit. There is a decrease in sales revenue until it reaches a low then there is an increase in revenue. There is an increase in sales revenue until it reaches a peak then there is a decrease in revenue. (c) What is the maximum revenue? R = $ At what price is the maximum revenue achieved? x = $
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