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. (a) Mathematically find the number of visitors per year for the two rides to have equal annual costs. (b) Develop a breakeven graph to show: • Accurate total cost lines for the two alternatives (show line, slopes, and equations). • The breakeven point for the two rides in terms of number of visitors. • The ranges of visitors per year where each alternative is preferred.
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. (a) Mathematically find the number of visitors per year for the two rides to have equal annual costs. (b) Develop a breakeven graph to show: • Accurate total cost lines for the two alternatives (show line, slopes, and equations). • The breakeven point for the two rides in terms of number of visitors. • The ranges of visitors per year where each alternative is preferred.
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