The simplest cost function .

Here represents the number of bicycles manufactured in a day.

represents the fixed cost : .

represents the cost of each item produced : .

Increased amount for manufacturing the bicycle per month is $ and the month has days then new daily fixed cost 

Substitute and in the  Linear function .

The function is .

(b).

Graph :

The function is.

The Slope of the function is .

From part(a),consider the point

The point is , move the point untis upwards and units right to the point .

The function has -intercept is , then the point is .

(c).

Find the cost when number of bicycles manufacturing a day is .

Substitute in the function .

The cost of manufacturing bicycles is $.

(d).

Find number of bicycles manufactured when the cost : .

Substitue in the function .

Hence approximately bicycles will be manufactured for $.

(a) The function is .

(b)

Graph of the function .

(c) The cost of manufacturing bicycles is $.

(d) bicycles will be manufactured for $.