In the context of measures of central tendency, the mode of a distribution of scores refers to the

Suppose that the market demand curve for bean sprouts is given by P = 1,660 - 4Q, where P is the price and Q is total industry o

a_sh-v [17]

Answer:

In equilibrium, total output by the two firms will be option e= 300.

Q = $q_{1}$ + $q_{2}$

Q = 100 + 200

Q = 300

Explanation:

Data Given:

Market Demand Curve = P = 1660-4Q

where, P = price and Q = total industry output

Each firm's marginal cost = $60 per unit of output

So, we know that Q = $q_{1}$ + $q_{2}$

where $q_{}$ being the individual firm output.

Solution:

P = 1660-4Q

P = 1660- 4( $q_{1}$ + $q_{2}$ )

P = 1660 - 4 $q_{1}$ - 4 $q_{2}$

Including the marginal cost of firm 1 and multiplying the whole equation by $q_{1}$

Let's suppose new equation is X

X = 1660 $q_{1}$ - 4 $q_{1} ^{2}$ - 4 $q_{1}$ $q_{2}$ - 60 $q_{1}$

Taking the derivative w.r.t to $q_{1}$ , we will get:

$X^{'}$ = 1660 - 8 $q_{1}$ - 4 $q_{2}$ - 60 = 0

Making rearrangements into the equation:

8 $q_{1}$ + $q_{2}$ = 1660 - 60

8 $q_{1}$ + $q_{2}$ = 1600

Dividing the whole equation by 4

2 $q_{1}$ + $q_{2}$ = 400

Solving for $q_{1}$

2 $q_{1}$ = 400 - $q_{2}$

$q_{1}$ = 200 - 0.5 $q_{2}$

Including the marginal cost of firm 1 and multiplying the whole equation by $q_{2}$

P = 1660 - 4 $q_{1}$ - 4 $q_{2}$

Let's suppose new equation is Y

Y = 1660 $q_{2}$ - 4 $q_{1}$ $q_{2}$ -4 $q_{2} ^{2}$ - 60 $q_{2}$

Pugging in the value of $q_{1}$

Y = 1660 $q_{2}$ - 4 $q_{2}$ (200 - 0.5 $q_{2}$ ) -4 $q_{2} ^{2}$ - 60 $q_{2}$

Y = 1660 $q_{2}$ - 800 $q_{2}$ +2 $q_{2} ^{2}$ -4 $q_{2} ^{2}$ - 60 $q_{2}$

Y = 1600 $q_{2}$ - 800 $q_{2}$ -2 $q_{2} ^{2}$

Taking the derivative w.r.t $q_{2}$

$Y^{'}$ = 1600 - 800 - 4 $q_{2}$ = 0

Solving for $q_{2}$

4 $q_{2}$ = 800

$q_{2}$ = 200

$q_{1}$ = 200 - 0.5 $q_{2}$

Plugging in the value of $q_{2}$ to get the value of $q_{1}$

$q_{1}$ = 200 - 0.5 (200)

$q_{1}$ = 200 - 100

$q_{1}$ = 100

Q = $q_{1}$ + $q_{2}$

Q = 100 + 200

Q = 300

Hence, in equilibrium, total output by the two firms will be option

e= 300.

5 0

3 years ago

A researcher examining the effects of an experimental surgery on epilepsy randomly assigns epileptic patients to three different

sergey [27]

The answer to this question is the "WAIT-LIST CONTROL". When a researcher is examining the effects of an experimental surgery on epilepsy randomly assigns epileptic patients to three different conditions. The first condition is that the participants receive the surgery. The second condition is that the patients receive the medication while third condition, the patients receive the surgery one month after the other group of patients. The third group of patients who need to wait for another one month is in the WAIT-LIST CONTROL and can only be accommodated after the other group is done.

6 0

3 years ago

Hogan Industries had the following inventory transactions occur during 2017: Units Cost/unit Feb. 1, 2017 Purchase 110 $46 Mar.

Rama09 [41]

Answer:

The answer is: Gross profit = $2,788

Explanation:

Feb. 1 Purchase 110 units $46 per unit
March 14 Purchase 190 units $48 per unit
May 1 Purchase 135 units $ 50 per unit

312 units were sold at $64 per unit, tax rate is 30%

Using FIFO, what is the company's gross profit? We first calculate COGS

Cost of goods sold - 312 units:

110 units at $46 per unit = $5,060
190 units at $48 per unit = $9,120
60 units at $50 per unit = $3,000

Total COGS = $17,180

Income statement for Hogan Industries 2017

Total revenue $19,968

COGS ($17,180)

Gross profit $2,788

Taxes 30% ($836.40)

Net profit $1,951.60

6 0

3 years ago

The importance of information.

blondinia [14]

he importance of information giving has been recognized and promoted in political,

ethical and professional arenas and this has ultimately resulted in the publication of a vast

amount of literature relating to the subject.

HOPE THIS HELPS U !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

PLZZ MARK ME AS BRAINY

6 0

3 years ago

Suppose someone believes that if a per-unit tax is placed on the producers of good Y, the consumers of good Y will end up paying

Alex_Xolod [135]

Answer:

The correct answer is option (B) perfectly inelastic

Explanation:

It is a known facts that anytime tax is imposed on any goods at any given time, the tax falls totally on the consumers provided the elasticity of demand is zero.

Since increase in tax doesn't affect the demand for goods and services, and no matter the increment in price from the supplier, the demand remains the same. Therefore, the demand curve for goods Y is said to be perfectly inelastic.

4 0

3 years ago