$\"\"$

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(a).

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The simplest cost function $\"\"$ ,

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Here $\"\"$ represents the number of bicycles manufactured in a day.

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$\"\"$ represents the fixed cost : $\"\"$ ,

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$\"\"$ represents the cost of each item produced : $\"\"$ ,

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Substitute $\"\"$ and $\"\"$ in the linear function $\"\"$ .

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The function is $\"\"$ .

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$\"\"$

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(b).

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Graph :

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The function is $\"\"$ .

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The Slope of the function is $\"\"$ .

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From part(a),consider the point $\"\"$

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

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Graph the function $\"\"$ .

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The function has $\"\"$ -intercept $\"\"$ , then the point is $\"\"$ .

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$\"\"$

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$\"\"$

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(c).

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

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Substitute $\"\"$ in the function $\"\"$ .

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$\"\"$

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The cost of manufacturing $\"\"$ bicycles is $ $\"\"$ .

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$\"\"$

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(d).

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Find number of bicycles manufactured when the cost is $\"\"$ .

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Substitue $\"\"$ in the function $\"\"$ .

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$\"\"$

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Hence $\"\"$ bicycles will be manufactured for $\"\"$ .

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$\"\"$

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(a) The function is $\"\"$ .

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(b)

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Graph of the function $\"\"$ .

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$\"\"$

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(c) The cost of manufacturing $\"\"$ bicycles is $ $\"\"$ .

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(d) $\"\"$ bicycles will be manufactured for $\"\"$ .