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The corn鈥揾og ratio is a financial term used in the pig market and presumably is related to the cost of feeding a pig until it is large enough for market. It is defined as the ratio of the market price of a pig with a mass of 3.108 slugs to the market price of a U.S. bushel of corn. (The word 鈥渟lug鈥 is derived from an old German word that means 鈥渢o hit鈥; we have the same meaning for 鈥渟lug鈥 as a verb in modern English.) A U.S. bushel is equal to 35.238 L. If the corn鈥揾og ratio is listed as 5.7 on the market exchange, what is it in the metric units of,

priceof1kilogramofpigpriceof1literofcorn?

(Hint: See the Mass table in Appendix D.)

Short Answer

Expert verified

The Corn-hog ratio in the metric units is4.4.

Step by step solution

01

Given data

The corn鈥揾og ratio is the ratio of the market price of a pig with a mass of 3.108 slugs to the market price of a U.S. bushel of corn.

The listed corn-hog ratio is 5.7.

02

Understanding the unit conversion

Chain-link conversions are used for unit conversion in which given values are multiplied successively by conversion factors.

03

Converting the given quantities into the required units

Use the conversion factor to convert the quantity in the required unit and find the ratio.

Conversion factor is 1sIug=14.59kg

Therefore,themass of the pig is,

3.108slugs=3.10814.59=45.346kg

The conversion factor is1Bushel=35.238.

04

Determination of the Corn-hog ratio

The Corn hog ratio is given as,=priceof3.108slugsofpigpriceof1Bushelofcorn

Substitute the values to calculate the ratio.

TheCornhogration=45.346kg35.238kg=5.7

Multiply the equation by the ratio price of 1 kg of pig and price of 1 liter of corn.

45.346priceof1kgofpig35.238priceof1literofcorn=5.71.287priceof1kgofpigpriceof1literofcorn=5.7priceof1kgofpigpriceof1literofcorn=5.71.287=4.4

Thus, the Corn-hog ratio is 4.4

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