A suburban factory makes three types of motorcycles. Each type of motor is made of engine parts and two wheels. The factory uses three brands of engine parts - Chrome Catalyst, Platinum Power and Silver Streak.

Motorcycles are built and sold as follows;

Type 1

Chrome Catalyst engine parts

Cost of engine parts $876

Sale price range $1000-$1200

Type 2

Platinum Power engine parts

Cost of engine parts $1228

Sale price range $1400-$1600

Type 3

Silver Streak engine parts

Cost of engine parts $1024

Sale price range $1200-$1400

Cost of wheels (each)

$65

$65

$65

Regardless of the type of engine parts used to make a motorcycle , there are fixed production costs of $4000

question:

1. Find the total cost and total revenue functions for each type of motorcycle. For the revenue function, select a price for each motorcycle type within the price ranges in the table above
2. Confirm any points of intersection between the cost and revenue function lines using algebra, round your final answer up to the next whole number
3. Profit will also differ for each motorcycle type . Find the profit functions and the break-even points for each type of motorcycle

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