Use Table 1 to evaluate all integrals involved in any solutions of Problems 71–94. 88. Revenue. The marginal revenue for a Company that manufactures and sells x graphing calculators per week is given by R ′ ( x ) = x 1 + 2 x R ( 0 ) = 0 where R ( x ) is the revenue in dollars. Find the revenue func- tion and the number of calculators that must be sold (to the nearest unit) to produce $10,000 in revenue per week. How inuch weekly revenue (to the nearest dollar) will the Company have if 1,000 calculators are sold per week?
Use Table 1 to evaluate all integrals involved in any solutions of Problems 71–94. 88. Revenue. The marginal revenue for a Company that manufactures and sells x graphing calculators per week is given by R ′ ( x ) = x 1 + 2 x R ( 0 ) = 0 where R ( x ) is the revenue in dollars. Find the revenue func- tion and the number of calculators that must be sold (to the nearest unit) to produce $10,000 in revenue per week. How inuch weekly revenue (to the nearest dollar) will the Company have if 1,000 calculators are sold per week?
Solution Summary: The author calculates the revenue function and the number of calculators that must be sold that generates 10,000 per week. They also calculate the weekly revenue that the agency will have on the sale of 1,000 calculations.
Use Table 1 to evaluate all integrals involved in any solutions of Problems 71–94.
88. Revenue. The marginal revenue for a Company that manufactures and sells x graphing calculators per week is given by
R
′
(
x
)
=
x
1
+
2
x
R
(
0
)
=
0
where R(x) is the revenue in dollars. Find the revenue func- tion and the number of calculators that must be sold (to the nearest unit) to produce $10,000 in revenue per week. How inuch weekly revenue (to the nearest dollar) will the Company have if 1,000 calculators are sold per week?
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
2) The Nikkei 225 index is a stock market index for the Tokyo Stock Exchange. The
Nikkei 225 index for the period 1990-2010 can be modeled by
V (t) = 23,500e-0.0381t
where t is the number of years after 1990. Determine how many years after 1990 the
Nikkei 225 index reached $20,000.
.4
Evaluate
J2
sec
-1
Va dr
Use the Jesaki Inc Information Below to Solve Questions 1- Below
1) Jesaki Inc estimates that it will sell N(x) units of product after spending $x thousand on advertising, as given by N(x) = -0.45 x^4 + 46 x^3 1,079 x x^2+ 161,973. What is the point of diminishing returns? Round to the nearest dollar.
2) The number x of bicycle helmets Jesaki Inc is willing to sell per week at a price of $p is given by x = a/p + b-c, where a = 80, b = 26, and c = 414. Find the instantaneous rate of change of the supply with respect to price when the price is $79. Round to the nearest hundredth (2 decimal places).
3) Jesaki Inc sponsered a blood drive following mathematical model relating systolic blood pressure and age: P(x) = a + bln(x+1), where P(x) is pressure, measured in millimeters of mercury, and x is age in years. By examining Guilford County hospital records, they estimate the values for Guilford County to be a = 43 and b = 27. Using this model, estimate the rate of change of pressure with…
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Definite Integral Calculus Examples, Integration - Basic Introduction, Practice Problems; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=rCWOdfQ3cwQ;License: Standard YouTube License, CC-BY