All categories

3 years ago

Suppose that the total benefit and total cost from a continuous activity are, respectively, given by the following equations:

Business

1 answer:

DedPeter [7]3 years ago

5 0

Answer:

A)= 20+24Q-4Q^{2} (This is the equation for the net benefits)

B) 40; 40

C)MNB(Q)= 24-8Q

D) 16; -16

E) Q=3

F)0

Explanation:

a) To write out the equation for the net benefits.

First, net benefits represents the difference obtained when the total benefits exceed the total costs derived form Q units of the control variable

Based on the definition, the equation is as follows

N(Q)= B(Q) - C(Q)

representing

N(Q)= The Net benefits that are derived from Q level of control variable

B(Q)= The total benefits derived from Q units of control variable

C(Q)= The total cost form Q units of control variable

As we have been given the following:B(Q)= 100 + 36Q - $4Q^{2}$ and C(Q) = 80 +12Q

This means:

N(Q)= 100+36Q-4Q^{2}- (80+12Q)

= 100+36Q-4Q^{2}-80-12Q

=100-80+36q-12Q-4Q^{2}

=20+24Q-4Q^{2}

= 20+24Q-4Q^{2} (This is the equation for the net benefits)

b) Determine he net benefits when Q = 1 and Q=5

Step 1) when Q=1 we use the formula 20+24Q-4Q^{2}

= 20+24Q-4Q^{2}

= 20(24x1)-(4x (1^{2))

=20+24-4

=40

Step 2) when Q=5 we use the formula 20+24Q-4Q^{2}

= 20+24Q-4Q^{2}

= 20(24x5)-(4x (5^{2))

=20+120-4x25

=140-100

=40

c)To write out the equation for the marginal net benefits

Marginal net benefits represent the change experienced in net benefits with change in one unit of the control variable

The formula therefore is as follows:

MNB(Q)=MB (Q)-MC(Q)

Representing

MNB (Q)= The marginal net benefits at Q level of control variable

MB(Q)= marginal benefits

MC(Q)=Marginal Costs

We are already given: MB(Q) = 36 – 8Q and MC(Q) = 12.)

This means

MNB(Q)=MB (Q)-MC(Q)

= 36-8Q-12

36-12-8Q

=24-8Q

MNB(Q)= 24-8Q

d) Find the marginal net benefits

Step 1) when Q=1 we use the formula for marginal net benefit MNB(Q)= 24-8Q

=MNB(Q)= 24-8(1)

= 16

Step 2) when Q=5 we use the formula for marginal net benefit MNB(Q)= 24-8Q

=MNB(Q)= 24-8(5)

=24-40

=-16

e) Calculate the maximum net benefits which represent the maximum level where the marginal costs= marginal benefits (it is a control variable level).

MB(Q)=MC(C)

MB(Q)= Marginal benefits

MC(Q)= Marginal Costs

We already know that MB(Q) =36-8Q and MC(Q)=12

Therefore, maximum benefit

= MB(Q)= MC(Q)

=36-8Q=12

8Q=36-12

8Q= 24

Q= 3.

This means that when Q is 3, then the net benefits will be at its maximum level

f) Compute marginal net benefits which is the difference between the marginal costs and benefits

MNB(Q)=MB(Q)-MC(Q)

MNB(Q)= Marginal net benefits

MB(Q)= Marginal benefits

MC(Q)= Marginal Costs

we already know that MB(Q) =36-8Q and MC(Q)=12

MNB(Q)= 36-8Q-12

=36-12-8Q

=24-8Q

Since the maximum level where net benefits are highest is 3 as calculated above, we then replace Q with 3 in the equation

MNB(Q)= =24-8(3)

= 24-24

This means at Q level of 3, the net costs will be equal to the net benefits and the net benefits are at the maximum level.

You might be interested in

Leasing allows business owners to forecast cash flows more ________ because lease payments are ________ amounts paid over a part

Pie

Leasing allows business owners to forecast cash flows more ACCURATELY, because lease payment are FIXED amount paid over a particular time period.
Leasing involves paying a specified amount of money monthly or yearly for use of a particular landed property. Leasing fees are usually fixed in amount and this allows one to accurately calculate how much money one can expect from this source of revenue.

3 0

3 years ago

Which event has the greatest consequences for the child Gail in “Child Waiting”?

dalvyx [7]

Answer:

her parents’ divorce

Explanation:

I just did the quiz

7 0

2 years ago

Read 2 more answers

If management identifies even one material weakness in internal control, then management will conclude that the organization’s i

solong [7]

Answer:

Statement is true

Explanation:

Internal control over financial reporting was designed to give assurance related to financial statements preparation and authenticity of financial reporting.

Material weakness refers to inefficiency in internal control which could lead to misstatement in financial statement thereby making financial reporting unreliable. As such, even one material weakness would prove ineffective internal control over financial reporting.

8 0

3 years ago

Which of the following from the institutional view is true about the two essential dimensions of organization? a. The technical

____ [38]

Answer:

The institutional structure is that part of the organization most visible to the outside public

Explanation:

An organization ecosystem is defined simply as a system formed by the relationship or interactions of a community of organizations and their environment.

Organizational niche:

is simply an area, region or domain of unique environmental resources and needs.

An Organization is simply defined as a body or and entity that have clear inside/ outside boundary that work towards an explicit aims.

The institutional view is of the notion that when an organizational field is just getting started, diversity is the norm, but later there is a push for similarity.

4 0

3 years ago

Suppose at her current level of consumption, a person enjoys going to an additional baseball game three times as much as seeing

AleksAgata [21]

Answer:

The person is NOT spending her income for both goods in a manner that maximizes her satisfaction.

Explanation:

Based on the information given The person is NOT spending her income for both goods in a manner that maximizes her satisfaction which means that she would have to INCREASE baseball games consumption and DECREASE movies consumption reason been that we were told that an individual enjoys going to baseball game three times compare to seeing new movie which therefore means The price of the ticket for a baseball game which is the amount of $30 should be increase while the price of a ticket for a movie which is the amount of $15 should be decrease.

3 0

2 years ago