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Introduction to Quantitative Analysis

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Motivated by his ambitions and previous work in coffee shops, Angelo is moving to Barrow, Alaska, to open a shop he has named Alaska Coffee. Angelo intends to sell coffee, espresso, and a couple of food items. He has signed a lease for a shop on one of the main streets and is moving in. His parents fronted him the cost or actual items of furniture and utensils, and he acquired some donated items, so he will not have to count these items in his cash accounting. Angelo is nearly ready to start selling coffee!

Angelo notes that he has the following fixed costs that he does have to count:

$1200/month for employees, totaled up, and
$1500/month lease, insurance, state, and borough fees.

Angelo figured he would allocate these fixed costs to his products in the same proportion that they provided revenue as shown in this table:

ITEM PRICE SOLD / UNIT VARIABLE COST / UNIT % REVENUE
Coffee $2.00 / cup $ 0.25 / cup 75%
Espresso 3.00 / small cup 0.50 / small cup 15%
Scones 4.00 / ea. 2.00 / ea. 5%
Bear Claws 1.50 / ea. 1.00 / ea. 5%

As you can see, local demand and the cost of acquiring supplies and ingredients from a store in the Arctic drives Angelo's accounting. The coffee is the thing for him! However, the other items are selling as well.

Angelo asks a visiting family member to prepare a report for him that answers the questions below.

With the way Angelo has the fixed cost proportioned out by 75%, 15%, 5%, and 5% for each of the four items for sale, what is the break-even point of sales of each item for him in a month?
What would the total sales figure for the shop be at the break-even point?
What, if anything, should Angelo do to improve his business?

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Solution Summary

The Solution uses the Alaska Coffee example to discuss quantitative analysis.

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https://resource.download.wjec.co.uk/vtc/2016-17/16-17_3-6/eng/breakeven.pdf

With the way Angelo has the fixed cost proportioned out by 75%, 15%, 5%, and 5% for each of the four items for sale, what is the break-even point of sales of each item for him in a month?

To determine the breakeven point for the company, the company must utilize this equation "Fixed Costs /Selling Price Per Unit - Variable Cost Per Unit." 2700/ 2- .25= 1542 (coffee), 2700/ 3-.50= 1080 (Espressos), 2700/ 4-2= 1350 (Scones), 2700/ 1.50-1= (5400 bear claws). To put it in perspective, the company needs to sell 1542 cups of coffee to break even each month, 1080 cups of Espresso, 1350 scones, and 5400 bear claws before it starts reaping profits from these purchases. The equation used for determining this amount is predicated upon contributions from positive differences that emerge as a result of the selling price per unit and the variable cost per unit in the equation.

The coffee shop relies upon cups of ...

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