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Calculate the break-even point

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There are 25 questions distributed over 17 exercises; each question is worth 1 point for a total of 25, then converted to base 15 Kindly answer all questions and show your work.ExercisesDirac Manufacturers Co. plans to introduce a new type of shirt based on the following information: the selling price is $57.00, the variable cost per unit is $18.00, the fixed costs are $7800.00 and capacity per period is 500 units. a)Calculate the break-even point in units. b)Calculate the break-even point to nearest dollar. c)Calculate the break-even point as a percentage of capacity. Compton and Sons is a local manufacturer of a product that sells for $13.50 per unit. Variable cost per unit is $7.85 and fixed cost per period is $1220. Capacity per period is 1100 units. a)Calculate the total cost when the production is 100 units. b)Calculate the break-even point in units. Round to nearest one. Plank, the new owner of the vehicle accessory shop, is considering buying sets of winter tyres for $ 299 per set and selling them at $ 520 each. Fixed costs related to this operation amount to $ 3250 per month. It is expected that 18 sets per month could be sold. How much profit will Plank make each month?  Hint: use the contribution margin approach.  Bernoulli's business budget included sales of $350 000 and fixed costs of $52 600. If the total contribution margin for the business was $125 000:a)Find  the contribution rate as a percentage approximated to nearest 100th.  b)What are the sales needed to break even? In order to pay his university fees, Feynman borrowed $ 7000 for five months at 5.5%   Calculate the amount of simple interest that will be charged to Feynman. Approximate your answer to the nearest 100th. Compute the amount of interest that Ms. Curie will be charged on $9000.00 that she borrowed for four months at 9.0%. Round to nearest one. Remark: Here and henceforth assume simple interest unless otherwise stated.  Ritcher decided to deposit  $ 875  from May 29, 2013 to August 13, 2013 at 11.5 % per annum. Compute the amount of simple interest he will earn at the end of the term. Round to nearest 100th. A child learning to save money invested a capital of $ 250 at a nominal rate of 0.0825 with simple interest. If he earned $ 11.98 at the maturity date,  how many days was the term of the deposit?  Round to nearest one. A bank pays an interest of 4.5% for a three month term deposit. Calculate the amount that Stokes must invest to earn an interest of $100.00. Round to nearest 100th. What principal will earn $219.89 interest at 11.25% p.a. from November 16, 2013 to February 7, 2014? Round to nearest 100th. If Monsieur Legendre is charged an interest of $42.95 on a loan of $950.00 for seven months, calculate the rate of interest he paid for the loan. Give your answer in percentage, rounded to nearest 100th. Fourier made an investment of $12 000.00 earning an interest of $480.00. Calculate the time in months if the interest rate is 6%.  You want to invest $ 5000 at 9.5 % p. a. and have it grow to $ 6000. How many years should the term of your investment be? Round to nearest 100th.  George Green wishes to invest $8000.00 that he saved from his summer job. His bank offers 3.75% for a one-year term investment or 3.5% for a six-month term. a)How much will George receive (capital plus interest) after one year if he invests at the one-year rate? Round to nearest one. b)How much will he receive (capital plus interest)  after one-year if he invests for six months at a time at 3.5% each time?  This  means  George  took the interest from the first investment transaction and included it in the principal for the second transaction.   Round to nearest 100th. c)What would the one-year rate have to be to yield the same amount of interest when investing for six months at a time at 3.5% each time? Give your answer as a percentage round to nearest 100th . Darwin has a capital of $ 7100.00 which he invests for 3 years at 7.6 % p. a. a)How much will he receive come maturity time if the interest is compounded annually? Round to nearest 100th. b)How much will he received come maturity time if the interest is compounded semi-annually?  Round to nearest 100th . c)How much will he receive come maturity time if the interest is compounded quarterly? Round to nearest 100th . What is the present value of $7800.00 payable in six years if the current interest rate is 7.6% p.a., compounded quarterly? Round to nearest 100th. How much would you have to deposit in an account today to have $37 000.00 in a three-year term deposit at maturity if interest is 7.775% compounded annually? Round to nearest 100th.
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