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A division of Ditton Industries manufactures a deluxe toaster oven. Management has determined that the daily marginal cost function associated with producing these toaster ovens is given by

C'(x) = 0.0003x2 − 0.14x + 25

where C'(x) is measured in dollars per unit and x denotes the number of units produced. Management has also determined that the daily fixed cost incurred in the production is $800.

(a) Find the total cost incurred by Ditton in producing the first 300 units of these toaster ovens per day.
$

(b) What is the total cost incurred by Ditton in producing the 201st through 300th units/day?
$

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Deanna HettingerLv2
26 Jan 2019

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Related questions

The management of Ditton Industries has determined that the daily marginal revenue function associated with selling x units of their deluxe toaster ovens is given by the following, where R '(x) is measured in dollars/unit.

(a) Find the daily total revenue realized from the sale of 190 units of the toaster oven.

(b) Find the additional revenue realized when the production (and sales) level is increased from 190 to 290 units.

The management of Ditton Industries has determined that thedaily marginal revenue function associated with selling xunits of their deluxe toaster ovens is given by the following,where R '(x) is measured in dollars/unit.

(a) Find the daily total revenuerealized from the sale of 220units of the toaster oven.

(b) Find the additional revenue realized when the production(and sales) level is increased from 220 to 320 units.

1.

Suppose that the daily cost, in dollars, of producing xtelevisions is

C(x) = 0.003x3 + 0.1x2 + 62x + 620

and currently 60 televisions are produced daily.

Use C(60) and the marginal cost to estimate the daily cost ofincreasing production to 63 televisions daily.

Round to the nearest dollar.

A) $5673
B) $5667
C) $5481
D) $5635
2.

A company estimates that the daily revenue (in dollars) from thesale of x cookies is given by:

R(x) = 885 + 0.02x + 0.0003x2

Currently, the company sells 900cookies per day.

Use marginal revenue to estimatethe increase in revenue if the company increases sales by onecookie per day.

A) $0.56
B) $56.00
C) $0.92
D) $92.00
3.

For the total-cost function

C(x) = 0.01x2 + 0.8x + 50

find ?C and C'(x) when x = 50 and ?x = 1

A) ?C = $1.00; C'(50) = $1.00
B) ?C = $1.81; C'(50) = $1.80
C) ?C = $1.81; C'(50) = $1.30
D) ?C = $1.81; C'(50) = $1.00
4.

A company finds that when it spends x million dollars onadvertising, its profit P, in thousands of dollars, is given by

P(x) = 970 + 15x - 4x2

Currently the company spends 17 million dollars onadvertising.

Use the marginal profit to estimate the change in profit if thecompany increases its advertising expenditure by one milliondollars.

A) 255 thousand dollars
B) 119 thousand dollars
C) -121 thousand dollars
D) 970 thousand dollars
5.

The total cost, in dollars, to produce x DVD players is C(x) =70 + 7x - x2 + 2x3

Find the marginal cost when x = 3

A) $136
B) $66
C) $55
D) $125
6.

Suppose that the weekly profit, in dollars, of producing andselling x cars is

P(x) = 0.006x3 - 0.3x2 + 960x - 900

and currently 60 cars are produced and sold weekly.

Use P( 60) and the marginal profit when to estimate the weeklyprofit of producing and selling 61 cars.

Round to the nearest dollar.

A) $55,269
B) $56,083
C) $55,182
D) $55,183
7.

A grocery store estimates that the weekly profit (in dollars)from the production and sale of x cases of soup is given by

P(x) = -5600 + 9.5x - 0.0017x2

and currently 1300 cases areproduced and sold per week.

Use the marginal profit toestimate the increase in profit if the store prodcues and sells oneadditional case of soup per week.

A) $7.29
B) $3877.00
C) $5.08
D) $5.52
8.

The weekly profit, in dollars, from the production and sale of xbicycles is given by

P(x) = 40.00x - 0.005x2

Currently, the company producesand sells 800 bicycles per week.

Use the marginal profit toestimate the change in profit if the company produces and sells onemore bicycle per week.

A) 48.00 dollars
B) 32.00 dollars
C) 40.00 dollars
D) 20.00 dollars
9.

A company estimates that the daily cost (in dollars) ofproducing x chocolate bars is given by

C(x) = 1635 + 0.02x + 0.0004x2

Currently, the company produces600 chocolate bars per day.

Use marginal cost to estimate theincrease in the daily cost if one additional chocolate bar isproduced per day.

A) $0.62
B) $0.50
C) $62.00
D) $50.00
10.

The profit, in dollars, from the sale of x compact disc playersis P(x) = x3 -8x2 + 9x + 7

Find the marginal profit when x = 10.

A) $149
B) $297
C) $290
D) $156

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