Business math problem and answers

Answer 1

Q) A hairbrush costs the seller $3.00 and is marked up 40% of the cost. Find the selling price.

A) $4.20

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Q) The hairbrush manufacturer pays $451,012 for the lease of the hairbrush manufacturing facility. During that period, it produces 2,896,101 hairbrushes, and nothing else in manufactured at that location. In 100ths of a penny, how much would the fixed cost per unit from lease payments drop if they were to double their production next year?

A) 7.79¢

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Q) Three companies are the only players doing martian mining operations.

Company A has a COGS of $1,171,237,539; total deductions of $2,954,572,927; net sales of $3,340,817,686; total operating income of $351,397,178; and $13,616,182 in the bank.

Company B has a COGS of $31,581,611; total deductions of $322,220,453; net sales of $352,880,600; total operating income of $27,666,659; and $2,311,126 in the bank.

Company C has a COGS of $3,111,069; total deductions of $705,278,938; net sales of $823,279,903; total operating income of $119,294,134; and $279,876 in the bank.

What is the average operating margin for the martian mining industry, rounded to the nearest percent?

A) 11%

Answer 2

New York City has received a federal grant of $100 million for

improving public transportation. The funds are to be used only

for the purchase of new buses, the purchase of new subway cars,

or the repaving of city streets. Costs are estimated at $150000

per bus, $180000 per subway car, and $250000 per mile for

repaving. City officials want to determine different ways of

spending the grant money.

a) Define the decision variables and write the equation which

ensures complete expenditure of the federal grant.

b) If it has been determined that 100 buses and 200 new

subway cars will be purchased, how many miles of city

streets can be repaved?

c) If officials wish to spend all of the grant money on one type

of improvement, what are the different possibilities?