United Fruits now offers volume discounts by the 10-kilogram (10-kilo) pack to small, as well as large,

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United Fruits now offers volume discounts by the 10-kilogram (10-kilo) pack to small, as well as large, supermarket chains for organically grown in-season fruit shipped directly from the orchard. Over the last 8 years, the food market chain Coop- For All has purchased the number of 10-kilo packs shown below when United Fruits has California free-stone peaches in season. Through a special arrangement, the price per 10-kilo pack has remained constant at $15.00 per pack. United Fruits will now charge CoopForAll according to the volume discount schedule shown. The no-discount price this year is $19.95 per 10-kilo pack.

7 6 5 10-kilo packs 100 150 500 800 1100 1400 1700 2000 Years ago 4 3 4 3 2 1

10-kilo packs purchased 50,001–100,000 > 100,000 0-100 101-250 251–1000 1001–10,000 10,001–50,000 Discount, % 10


Based on the progressive discounts of 10% more for increased-size orders, if CoopForAll buys the same amount as last year, the total cost with discounts will be: 2000 packs × $19.95[1 ˆ’ (3 × 0.10)] = 2000 × 13.97 = $27,940. This is less than $30,000, the cost for 2000 packs at the flat rate of $15.00 per pack.

Calculate the equivalent worth now of the annual costs for the 8 years of prior purchases at the flat rate of

(a) $15.00 per pack,

(b) the cost had they been purchased using the discount schedule. Let i = 8% per year. This is a future worth value now at the end of year 1.

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Related Book For  book-img-for-question

Engineering Economy

ISBN: 978-0073523439

8th edition

Authors: Leland T. Blank, Anthony Tarquin

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