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Shkiper50 [21]
3 years ago
7

This is section 3.7 problem 60: a clothing manufacturer has the cost function c(x)=1200+30x+0.5x2 , (in dollars), 0≤ x≤ 250 , wh

ere x is the number of suits produced each week. the revenue function for selling x suits is given by r(x)=120x , (in dollars). in order to achieve the maximum profit each week, suits per week must be produced and sold to achieve the maximum profit of $ . hint: follow example 1.
Business
1 answer:
viktelen [127]3 years ago
5 0

Answer:

90 suits per week must be produced and sold to achieve the maximum profit of $2,850.

Explanation:

The profit function is given by the revenue function minus the cost function:

P(x) = R(x) - C(x)\\P(x)=120x -1200-30x-0.5x^2

The number of suits, x, for which the derivate of the profit funtion is zero, is the production volume that maximizes profit:

P'(x)=0=120-30-x\\x=90\ suits

The profit generated by producing 90 suits is:

P(90)=120*90 -1200-30*90-0.5*90^2\\P(90) = \$2,850

Therefore, 90 suits per week must be produced and sold to achieve the maximum profit of $2,850.

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A soft-drink machine is regulated so that it dischargesan average of 200 milliliters per cup. If theamount of drink is normally
Fiesta28 [93]

Answer:0.0548

Explanation:

Let x denotes the random variable that represents the  amount of drink in cups.

As per given , we have

\mu=200   \sigma=15

Since z=\dfrac{x-\mu}{\sigma}

The z-value corresponds to x=224

z=\dfrac{224-200}{15}=1.6

Required probability :

P-value : P(x>224)=P(z>1.6)=1-P(z

=1- 0.9452007=0.0547993\approx0.0548

Hence, the fraction of the cups will contain more than 224 milliliters = 0.0548

5 0
3 years ago
A monetary unit that is freely and easily converted into other currencies is
Brut [27]

Answer:

A hard currency

Explanation:

A monetary unit that is freely and easily converted into other currencies is a hard currency.

The value of this currency neither depreciates suddenly nor fluctuate to a great extend.

This currency is considered politically and economically stable by the nation.

Hard currencies can also be used as a form of payment for goods and services.

4 0
3 years ago
Self doubt is a result of ______. a. Having great success b. Lacking self-esteem c. Successful conflict resolution d. An asserti
Andreas93 [3]
<span>Self doubt is a result of lacking self-esteem.

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6 0
3 years ago
Read 2 more answers
Ponzi Products produced 100 chain-letter kits this quarter, resulting in a total cash outlay of $10 per unit. It will sell 50 of
goldenfox [79]

Answer:

a) Ponzi Products

Income statement

For quarters 1, 2, 3 and 4 of year 202x

                                       Q1                     Q2                  Q3                Q4

Sales revenue                $0                   $550             $600              $0

COGS                              $0                   $500             $500              $0

Operating income          $0                    $50               $100              $0

Since no products are sold during the first and fourth quarter, their respective revenues, COGS and operating income is $0.

b) Ponzi Products

Schedule of Expected Cash Receipts

For quarters 1, 2, 3 and 4 of year 202x

                                       Q1                     Q2                  Q3                Q4

Sales revenue                $0                    $0                $550            $600

Cost of goods man.  ($1,000)                $0                   $0               $0

Net cash receipts     ($1,000)                 $0                $550            $600

c) This question is incomplete, it should say what is Ponzi's net working capital for each quarter?

NWC = current assets - current liabilities

NWC Q1 = $1,000 (Merchandise inventory account, no liabilities)

NWC Q2 = $500 (Merchandise inventory account, no liabilities)

NWC Q3 = $550 (Cash account, no liabilities)

NWC Q4 = $1,150 (Cash account, no liabilities)

6 0
3 years ago
Beranek Corp has $720,000 of assets (which equal total invested capital), and it uses no debt—it is financed only with common eq
lozanna [386]

Answer:

firm must borrow $288000 to achieve the target debt ratio

Explanation:

given data

assets = $720,000

debt to total capital ratio = 40%

to find out

How much must the firm borrow to achieve the target debt ratio

solution

we get here debt here by Debt to Total capital ratio that is express as

Debt to Total capital ratio = Debt ÷ (  Debt + Equity  )   ....................1

put here value we get debt

0.40 = \frac{debt}{720000}

debt = $288000

so firm must borrow $288000 to achieve the target debt ratio

7 0
3 years ago
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