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if you charge $15 per entry, what is the breakeven quantity of bags that you should order?  

November 5, 2021
Christopher R. Teeple

1.  You are serving as the chair for your community’s annual wellness campaign. A key event is the annual Walk 3k, Run 10k, Ride 20k event. The event is staged entirely by volunteers and the goal is to attract community-wide awareness of getting active as a key step to wellness. In other words, the goal is not to raise money, but to prompt awareness. As the chair, you set a financial goal to break even on the one and only cost of the event, a fitness bag with the community seal and the event motto, “I AM ON THE RIGHT TRACK!”
The cost of the bags, which must be ordered in batches of 100, are:
Bags/Participants      Fixed Cost     Variable Cost     Total Cost     Marginal Cost
0                                    $1,700           $ –                       $1,700
100                                  $1,700          $500                    $2,200                ?
200                                    $1,700        $1,200                   $2,900                ?
300                                  $1,700          $2,700                  $4,400                ?
400                                  $1,700          $5,200                  $6,900                ?
500                                   $1,700         $9,000                  $10,700              ?
600                                   $1,700         $15,000                $16,700              ?
700                                    $1,700        $23,800                $25,500              ?
800                                    $1,700        $36,800                $38,500              ?
900                                     $1,700       $55,800                $57,500              ?
1000                                   $1,700       $83,000                $84,700              ?
2.  Given the above information on cost, if you charge $15 per entry, what is the breakeven quantity of bags that you should order?  At what quantity of bags will profits be maximized?
Please select any/all viable approaches below:
Using Qb = F/(MR – AVC) where Qb is the break even quantity, the event would break even at 283 bags.
O   Using the profit-maximizing rule, MR ≥ MC, the quantity of bags that will maximize profits is 200 bags.
O   Using the profit-maximizing rule, MR > MC, the quantity of bags that will maximize profits is 300 bags.
O   The break even quantity cannot be determined in this case.
3.   Your Best Brand Bike Shorts – BBB Shorts have been flying off the shelf. Your chief economist tells you that during the Covid-19 pandemic, “the taste for bicycling has changed. The price elasticity of demand is much more inelastic. The price elasticity of demand has decreased from -5.76 to -2.70.”
Before the campaign, your price was $240 per pair of BBB Shorts. What should the new price be?
Please enter the new price here: $ [a] Show only your answer in the box. Do not include steps in the box and do not add the dollar sign.
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