Solving Business Math Problems, Assignments of Mathematics

A series of business math problems and their solutions, covering topics such as currency conversion, sales tax calculations, price reduction percentages, gross earnings calculations, and break-even analysis for a manufacturing company. The problems require the application of various mathematical concepts and formulas to solve real-world business scenarios. By studying this document, students can develop their skills in financial calculations, cost analysis, and decision-making, which are essential for success in business-related fields. A comprehensive set of practice problems and solutions that can be used for study notes, lecture notes, assignments, or exam preparation.

Typology: Assignments

2019/2020

Uploaded on 06/21/2022

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ASSIGNMENT 2 (TOTAL 30 MARKS)
1. If one Canadian dollar is equivalent to US$0.8150, how much do you
need in Canadian funds to buy US$800.00? (2 marks)
2. A bicycle was sold for $282.50. The selling price included 13%
harmonized sales tax. Find the amount of HST on the bike. (2 marks)
3. A microwave oven originally advertised at $220 is reduced to $209
during a sale. By what percent was the price reduced? (2 marks)
4. J.B. earns $16.60 an hour with time-and-a-half for hours worked over 8
a day. His hours for a week are 8.25, 8.25, 9.5, 11.5, and 7.25.
Determine his gross earnings for that week. (2 marks)
5. Mahal of Winnipeg, Manitoba, bought a ring for $6400. Since the
jeweller is shipping the ring, she must pay a shipping charge of $20.
She must also pay GST (5%) and PST (8%) on the ring. Determine the
total purchase price of Mahal’s ring. (2 marks)
6. The Superior Jumpdrive Company sells jump drives for $10 each.
Manufacturing cost is $2.60 per jump drive; marketing costs are $2.40
per jump drive; and royalty payments are 20% of the selling price. The
fixed cost of preparing the jump drive is $18 000. Capacity is 15 000
jump drives.
a. Compute
i. the contribution margin; (2 marks)
ii. the contribution rate. (2 marks)
b. Compute the break-even point
i. in units; (2 marks)
ii. in dollars; (2 marks)
iii. as a percent of capacity. (2 marks)
c. Draw a detailed break-even chart. (2 marks)
d. Determine the break-even point in units if fixed costs are
increased by $1600, while manufacturing cost is reduced by
$0.50 per jump drive. (2 marks)
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ASSIGNMENT 2 (TOTAL 30 MARKS)

  1. If one Canadian dollar is equivalent to US$0.8150, how much do you need in Canadian funds to buy US$800.00? (2 marks)
  2. A bicycle was sold for $282.50. The selling price included 13% harmonized sales tax. Find the amount of HST on the bike. (2 marks)
  3. A microwave oven originally advertised at $220 is reduced to $ during a sale. By what percent was the price reduced? (2 marks)
  4. J.B. earns $16.60 an hour with time-and-a-half for hours worked over 8 a day. His hours for a week are 8.25, 8.25, 9.5, 11.5, and 7.25. Determine his gross earnings for that week. (2 marks)
  5. Mahal of Winnipeg, Manitoba, bought a ring for $6400. Since the jeweller is shipping the ring, she must pay a shipping charge of $20. She must also pay GST (5%) and PST (8%) on the ring. Determine the total purchase price of Mahal’s ring. (2 marks)
  6. The Superior Jumpdrive Company sells jump drives for $10 each. Manufacturing cost is $2.60 per jump drive; marketing costs are $2. per jump drive; and royalty payments are 20% of the selling price. The fixed cost of preparing the jump drive is $18 000. Capacity is 15 000 jump drives. a. Compute i. the contribution margin; (2 marks) ii. the contribution rate. (2 marks) b. Compute the break-even point i. in units; (2 marks) ii. in dollars; (2 marks) iii. as a percent of capacity. (2 marks) c. Draw a detailed break-even chart. (2 marks) d. Determine the break-even point in units if fixed costs are increased by $1600, while manufacturing cost is reduced by $0.50 per jump drive. (2 marks)

e. Determine the break-even point in units if the selling price is increased by 10%, while fixed costs are increased by $2900. ( marks)

  1. Determine the net price of an article listed at $590 less 37.5%, 12.5%, and 8⅓% (2 marks)
  2. An invoice for $3200, dated March 20, terms 3/10 E.O.M., was received March 23. What payment must be made on April 10 to reduce the debt to $1200 (2 marks)

ANSWER KEY

  1. Let the number of Canadian dollars be x. 800/0.8150 = 981.
  2. Let the price of the bicycle before taxes be $ x ; then the amount of HST is 13% of $ x ; the sales value is of x. HST

(ii) Break-even volume, in sales dollars, (iii) Break-even volume, as a percent of capacity, (c) Let the number of Jump drives be x. (d) (e)