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The quantity of Sensitech laser gaming mice demanded each month is related to the unit price by the equation p = 480.03x2 + 1 (0

stich3 [128]

Answer: a) $p=480.03x^2+1$ , b) $R'(x)=1440.09x^2+1$ c) $5761.36.

Step-by-step explanation:

Since we have given that

Unit price is expressed as

$p=480.03x^2+1$

Let x be the number of units of a thousands.

So, Revenue function is given by

$R(x)=px\\\\R(x)=x(480.03x^2+1)\\\\R(x)=480.03x^3+x$

.(b) Find the marginal revenue function R'..

Marginal revenue function becomes,

$R'(x)=3\times 480.03x^2+1\\\\R'(x)=1440.09x^2+1$

(c) Compute R'(2).

$R'(2)=1440.09(2)^2+1\\\\R'(2)=5760.36+1\\\\R'(2)=5761.36$

Hence, a) $p=480.03x^2+1$ , b) $R'(x)=1440.09x^2+1$ c) $5761.36.

5 0

3 years ago

If 5x - 3y = 1 and x = 2y - 4, then x • y = ?

Inessa05 [86]

Answer:

x = 2, y = 3

Step-by-step explanation:

i) It is given that 5x - 3y =1

ii) It is also given that x = 2y - 4

iii) we can substitute the value of x from ii) in the equation in i) and we will get 5(2y - 4) - 3y = 1 ⇒ 10y - 20 -3y = 1 ⇒ 7y = 21 ∴ y = 3

iv) substituting the value of y obtained in ii) we get x = (2 × 3) - 4 = 6 - 4 = 2.

v) Therefore x = 2.

4 0

3 years ago

a car travels 406 miles in 7 hours (with a constant speed). how mush time will it take traveling 435 miles?

o-na [289]

4 0

3 years ago

Read 2 more answers

Find the area of a parallelogram with a height of 2x - 3 and a base of x + 4.

saw5 [17]

Multiply the two as area is base times height.
$(2x - 3)(x + 4) \\ 2 {x}^{2} + 8x - 3x - 12 \\ 2 {x}^{2} + 5x - 12$

4 0

3 years ago

The principal at Riverside High School would like to estimate the mean length of time each day that it takes all the buses to ar

Lilit [14]

Answer:

C) 11

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that $z_{\alpha/2}=1.64$