Calender: discount,75%; sale price, $2.25

Your company is planning to air a number of television commercials during a television network's presentation of the an awards s

Sunny_sXe [5.5K]

This question is incomplete, the complete question is;

Your company is planning to air a number of television commercials during a television network's presentation of the an awards show. The network is charging your company $1.9 million per 30-second spot. Additional fixed costs (development and personnel costs) amount to $500,000, and the network has agreed to provide a discount of $160,000√x for x television spots.

Required:

Write down the cost function C, marginal cost function C’, and average cost function

Answer:

- The the cost function is 500,000 + 1,900,000x - 160,000√x

- the marginal cost function is 1,900,000 - (80000 /√x )

- The average cost function is 1,900,000 + [ 500,000 / x ] - [ 160,000 / √x ]

Step-by-step explanation:

Given the data in the question;

cost per spot = $1.9 million

Additional cost = $500,000

discount = $160,000√x

Let C(x) represent the cost ;

Cost x television spot = cost per spot × Number pf spots

Cost x television spot = $1.9 million × x

Cost x television spot = $1,900,000x

Now, the television set total cost will be;

C(x) = television cost + additional cost - discount

C(x) = 500,000 + 1,900,000x - 160,000√x

Therefore, The the cost function is 500,000 + 1,900,000x - 160,000√x

Marginal Cost Function;

Cost function C(x) = 500,000 + 1,900,000x - 160,000√x

we differentiate with respect to x

C'(x) = d/dx( 500,000 + 1,900,000x - 160,000√x )

= d/dx( 500000 ) + 1,900,000d/dx -160,000 d/d( √x )

= 0+ 1,900,000(1) -160,000( 1 / 2√x )

= 1,900,000 - (160,000 / 2√x )

= 1,900,000 - (80000 /√x )

Therefore, the marginal cost function is 1,900,000 - (80000 /√x )

Average cost function;

Average cost function = C(x) / x

we substitute

Average cost function = [500,000 + 1,900,000x - 160,000√x] / x

= [500,000 / x ] + [1,900,000x / x ] - [ 160,000√x / x ]

= [ 500,000 / x ] + 1,900,000 - [ 160,000√x / x ]

= 1,900,000 + [ 500,000 / x ] - [ 160,000 / √x ]

Therefore, The average cost function is 1,900,000 + [ 500,000 / x ] - [ 160,000 / √x ]

5 0

4 years ago

By the Triangle Inequality Theorem, if two sides of a triangle have lengths of 6 and 13, what are the possible lengths of the th

melamori03 [73]

The Triangle Inequality Theorem establishes that the length of the triangle is shorter than the sum of the two lenghts of the others two sides. Then, you have:

a=6 (the lenght of a side of the triangle).
b=13 (the lenght of a side of the triangle).
c=x (the length of the third side).

Therefore:

c<a+b
c<6+13
c<19

The lenght of the third side is:

(13-6)<c<19
7<c<9

6 0

3 years ago

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 432 gram setting. It is

Drupady [299]

Answer:

The decision rule will be as follows: Reject the null hypothesis if test-statistic < -2.5 or fail to reject the

Now, Our test-statistic was -1.96, which is greater than -2.5. Thus, we will fail to reject the null hypothesis.

Step-by-step explanation:

We are given;

Population mean; μ = 432

Sample mean; x¯ = 426

Sample size; n = 24

Variance; Var = 225

Now, standard deviation from variance is; σ = √Var

Thus, σ = √225

σ = 15

Hypothesis is defined as;

Null hypothesis; H0: μ ≥ 432

Alternative hypothesis: Ha: μ < 432

Formula for the test statistic since sample size is less than 30 is;

t = (x¯ - μ)/(σ/√n)

Plugging in the relevant values;

t = (426 - 432)/(15/√24)

t = -1.96

Now,we are given significance level of 0.01; our DF = n - 1 = 24 - 1 = 23.

From t-table attached, we can see that at DF of 23 and significance value of 0.01, the critical value is 2.5

However, this is a left tailed test as the rejection region is to the left.

Thus, the critical value of a left tailed test is negative. Thus, in this case our critical value will be -2.5.

The decision rule will be as follows: Reject the null hypothesis if test-statistic < -2.5 or fail to reject the

Now, Our test-statistic was -1.96, which is greater than -2.5. Thus, we will fail to reject the null hypothesis.

5 0

3 years ago

9 years 11 months = _months?

vovikov84 [41]

Answer:

108

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Which of the following reactions occurs at the anode in a voltaic cell? Cu2+ (aq) + 2e– → Cu (s)

AleksAgata [21]

Mg (s) -->Mg2+2e-
i know cause i took the test and got it wrong and that's what it showed as the right answer lol

7 0

3 years ago

Read 2 more answers