a) The annual demand for Praise Limited’s inventory is 10,500 units. The item costs GH¢400 a unit to purchase. The holding cost for one unit for one year is 12% of the unit cost and ordering costs are GH¢450 per order. The supplier offers a 2% discount for orders of 700 units or more and a discount of 3% for orders of 950 units or more. Required: Determine the cost minimising order size of the company.

Financial Accounting: The Impact on Decision Makers
10th Edition
ISBN:9781305654174
Author:Gary A. Porter, Curtis L. Norton
Publisher:Gary A. Porter, Curtis L. Norton
Chapter5: Inventories And Cost Of Goods Sold
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QUESTION 1

a) The annual demand for Praise Limited’s inventory is 10,500 units. The item costs GH¢400 a unit to purchase. The holding cost for one unit for one year is 12% of the unit cost and ordering costs are GH¢450 per order. The supplier offers a 2% discount for orders of 700 units or more and a discount of 3% for orders of 950 units or more.

Required:

Determine the cost minimising order size of the company. 

b) Kwame after his National Service and with no hope of securing a job in the formal sector has decided to run a taxi service. The following forecast has been made for the operation of a service between Abisim and Sunyani.

i) Revenue totaling GH¢300 a week for 52 weeks in a year. This is net of fuel and other variable costs.

ii) Tyres; four pieces for a year at GH¢120 per unit.

iii) Maintenance and servicing; GH¢120 per month.

iv) Salaries GH¢3,000 per year

v) Insurance GH¢350 per year

The net cash flow will increase at 5% per annum for the next five years due to inflation. The cost of the vehicle is estimated at GH¢28,000. The project appears quite profitable based on the NPV criteria using the Government policy rate of 26%. However the banks are offering rates far higher than the policy rate.

Required:

You are to calculate the break-even rate for the project.

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