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AP Business with Personal Finance: Mixed Marketing and Finance Drill 29

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About This Drill

AP Business with Personal Finance: Mixed Marketing and Finance Drill 29 is a practice drill. It contains 5 original questions created by Brian Stewart, a Barron's test prep author with over 20 years of tutoring experience.

A cross-unit drill in which a food-truck owner's pricing choice drives profit and household income; it uses an invented company and original figures.

Passage

Dana Forsythe runs Dunmere Street Kitchen, a one-person food truck, as a sole proprietor. For this simplified comparison, the truck's monthly profit is treated as the household income available for the month. Each bowl costs 4 dollars in ingredients and supplies to make (the variable cost). The owner is choosing between two prices for a bowl and has estimated how many bowls would sell each month at each price. Fixed costs (the truck permit and parking) are 2,000 dollars per month at either price.

Dunmere Street Kitchen: Two Pricing Options (one month)

ItemOption 1: price 9 dollarsOption 2: price 12 dollars
Price per bowl912
Variable cost per bowl44
Bowls sold per month1,000700
Fixed costs per month2,0002,000

Questions & Explanations

Question 1. Q1. Under which pricing option does the truck sell more bowls per month, and how many?

  • A) Option 2, 1,000 bowls
  • B) Option 1, 700 bowls
  • C) Option 1, 1,000 bowls ✓
  • D) The two options sell the same number

Explanation: The answer is C (Option 1, 1,000 bowls). The table shows Option 1 selling 1,000 bowls and Option 2 selling 700, so Option 1 sells more, at 1,000. A pairs the right count with the wrong option. B pairs Option 1 with Option 2's quantity. D is wrong because the quantities differ.

Question 2. Q2. The price of a bowl minus its variable cost is the amount each bowl contributes toward covering fixed costs and profit. What is this per-bowl amount called?

  • A) Gross domestic product
  • B) Sticker price
  • C) Fixed cost
  • D) Contribution margin ✓

Explanation: The answer is D (contribution margin). Contribution margin per unit is the selling price minus the variable cost per unit, the amount each sale contributes toward fixed costs and then profit. A is a national economic measure, not a per-unit business figure. B is just the listed price, not price minus cost. C is a cost that does not change with the number of bowls sold, not the per-bowl contribution.

Question 3. Q3. Monthly profit equals (price minus variable cost) times bowls sold, minus fixed costs. What is the monthly profit under Option 2, the 12-dollar price?

  • A) 2,800 dollars
  • B) 3,000 dollars
  • C) 3,600 dollars ✓
  • D) 5,600 dollars

Explanation: The answer is C (3,600 dollars). Contribution per bowl is 12 minus 4, which is 8; times 700 bowls is 5,600; minus 2,000 in fixed costs leaves 3,600. D forgets to subtract fixed costs and stops at 5,600. A and B do not match the figures. For comparison, Option 1's profit is (9 minus 4) times 1,000 minus 2,000, which is 5,000 minus 2,000, or 3,000.

Question 4. Q4. Option 2 charges a higher price and sells fewer bowls, yet it produces more monthly profit than Option 1. Why?

  • A) Its larger contribution margin per bowl outweighs the drop in bowls sold ✓
  • B) Its fixed costs are lower than Option 1's, which raises monthly profit under the financial conditions described
  • C) It has a lower variable cost per bowl than Option 1
  • D) It sells more bowls than Option 1

Explanation: The answer is A. Option 2's contribution margin is 8 per bowl versus 5 for Option 1, and 8 times 700 (5,600) beats 5 times 1,000 (5,000), so the higher margin per bowl more than makes up for selling 300 fewer bowls. B is false because fixed costs are 2,000 under both options. C is false because the variable cost is 4 per bowl under both. D contradicts the table, which shows Option 2 selling fewer bowls, not more.

Question 5. Q5. The owner's goal is the highest monthly income from the truck, which this simplified example treats as the truck's monthly profit. Which pricing option should the owner choose?

  • A) Option 1, because it sells more bowls
  • B) Option 2, because its monthly profit of 3,600 dollars is higher than Option 1's 3,000 dollars ✓
  • C) Option 1, because a lower price always means higher profit regardless of variable costs within the scenario the question describes
  • D) Either option, because both yield the same profit

Explanation: The answer is B. The criterion is the highest monthly profit, which the scenario treats as the owner's monthly income, and Option 2 yields 3,600 versus Option 1's 3,000, so Option 2 best matches the stated goal. A chooses on bowls sold, which is not the goal. C states a false rule; a lower price does not always raise profit. D is wrong because the two profits differ by 600 dollars.