Two new rides are being compared by a local amusement park in terms of their annual operating costs. The two rides are assumed to be able to generate the same level of revenue (and thus the focus on costs). The Tummy Tugger has fixed costs of $10,000 per year and variable costs of $2.50 per visitor. The Head Buzzer has fixed costs of $4000 per year, and variable costs of $4 per visitor. Provide answers to the following questions so the amusement park can make the needed comparison. (a) Mathematically determine the breakeven number of visitors per year for the two rides to have equal annual costs. (b) Develop a graph that illustrates the following: (Note: Put visitors per year on the horizontal axis and costs on the vertical axis.

(a) For 4,000 visitors per year the two rides have equal annual costs.

(b) See figure attached, and explantion below.

Explanation:

The second part of the question is missing.

Adding the second part, the complete question is:

Two new rides are being compared by a local amusement park in terms of their annual operating costs. The two rides would generate the same level of revenue (thus the focus on costs). The Tummy Tugger has fixed costs of $10,000 per year and variable costs of $2.50 per visitor. The Head Buzzer has fixed costs of $4000 per year and variable costs of $4 per visitor.

Provide answers to the following questions so the amusement park can make the needed comparison.

(a) Mathematically determine the breakeven number of visitors per year for the two rides to have equal annual costs.

(b) Develop a graph that illustrates the following

i. Accurate total cost lines for the two alternatives (show lines, slopes, and equations).

ii. The breakeven point for the two rides in terms of number of visitors.

iii. The ranges of visitors per year where each alternative is preferred.

(a) Mathematically determine the breakeven number of visitors per year for the two rides to have equal annual costs.

Determine the slope-intercept equation of each ride

For the Tummy Tugger:

For the Head Buzzer

For the two rides to have equal annual costs, make the two functions equal:

Solve:

Hence, for 4,000 visitors per year the two rides have equal annual costs.

(b) Develop a graph that illustrates the following

i. Accurate total cost lines for the two alternatives (show lines, slopes, and equations).

See the figure attached.

For the Tummy Tugger, the graph is the red line:

To draw the line use two points:

For the Head Buzzer, the graph is the blue line:

To draw the line use two points:

The draw must only show the first quadrant (negative values do not count).

ii. The breakeven point for the two rides in terms of number of visitors.

iii. The ranges of visitors per year where each alternative is preferred.

Note that 0 visitors is the absolute minimum, because there cannot be negative visitors)

Note that there not exist an upper bound; the more visitors the better, and the Head Buzzer ride is preferred.

3,500 beverages

explanation: