Question

Three separate companies produce lye, a strongly basic compound used mainly to produce soap and detergents. Each company uses a slightly

different method but charges the same amount per gram of theoretical yield. The company with the highest efficiency will be the cheapest to
purchase from. You work for Dirt-Be-Gone, a detergent company and must choose which lye company to give a contract to. You purchase one
unit of lye from each company to compare their efficiency.
Company 1: Theoretical yield of 12,000 grams, actually produces 8,476 grams per reaction.
Company 2: Theoretical yield of 9,000 grams, actualy produces 7892 grams per reaction.
Company 3: Theoretical yield of 7,000 grams, actually produces 4885 grams per reaction.
Who will you choose to provide your company with lye?
A. Company 3
B. Company 2
C. All are equal
D. Company 1

Answer 1

I'll choose Company 2 to provide my company with lye

Further explanation

Given

Company 1 : Theoretical yield :12,000 grams, actually 8,476 grams

Company 2 : Theoretical yield :9,000 grams, actually 7892 grams

Company 3 : Theoretical yield :7,000 grams, actually 4885 grams

Required

compare their efficiency and choose the company

Solution

To determine which company to choose, we must calculate how much percent yield each company produces. The greater the yield, the greater the efficiency. The company that has the most efficiency will be selected

% yield can be formulated :

`\tt \%yield=(actual)/(theoretical)* 100\%`

• Company 1

`\tt \%yield=(8476)/(12000)* 100\%=70.63\%`

• Company 2

`\tt \%yield=(7892)/(9000)* 100\%=87.69\%`

• Company 3

`\tt \%yield=(4885)/(7000)* 100\%=69.79\%`

Company 2 has the most efficiency