(a) Explanation Given: The differential form of the daily cost (in dollars) producing microwave ovens is, C ( x ) = 0.0002 x 3 − 0.06 x 2 + 120 x + 5000 (1) Calculation: Substitute 101 for x in equation (1) to obtain the cost of manufacturing of 101 st oven, C ( 101 ) = 0.0002 ( 101 ) 3 − 0.06 ( 101 ) 2 + 120 ( 101 ) + 5000 = 206.0602 − 612.06 + 12120 + 5000 = 11714.002 + 5000 = 16714.0002 Substitute 100 for x in equation (1) to obtain the cost of manufacturing of 100 st oven, C ( 100 ) = 0.0002 ( 100 ) 3 − 0.06 ( 100 ) 2 + 120 ( 100 ) + 5000 = 200 − 600 + 12000 + 5000 = 11600 + 5000 = 16600 The actual cost of the 101 st oven is the difference in the cost manufacturing of 101 st and 100 st oven, C ( 101 st ) = C ( 101 ) − C ( 100 ) = 16714.0002 − 16600 = 114.0002 Substitute 201 for x in equation (1) to obtain the cost of manufacturing of 201 st oven, C ( 201 ) = 0.0002 ( 201 ) 3 − 0.06 ( 201 ) 2 + 120 ( 201 ) + 5000 = 1624.12 − 2424.06 + 24120 + 5000 = 23320.06 + 5000 = 28320.06 Substitute 200 for x in equation (1) to find the cost of manufacturing of 200 st oven, C ( 200 ) = 0.0002 ( 200 ) 3 − 0 (b) To determine The marginal cost in the manufacturing of 100 , 200 and 300 oven.

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Chapter 3.4, Problem 4E

(a)

To determine

The actual cost in the manufacturing of 101 st , 201 st and 301 st oven.

(b)

To determine

The marginal cost in the manufacturing of 100 , 200 and 300 oven.

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Chapter 3.4, Problem 3E

Chapter 3.4, Problem 5E

Chapter 3 Solutions

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The actual cost in the manufacturing of 101 st , 201 st and 301 st oven.

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The actual cost in the manufacturing of 101 st , 201 st and 301 st oven.

The marginal cost in the manufacturing of 100 , 200 and 300 oven.

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