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dimaraw [331]
3 years ago
7

The profit, P, in dollars for manufacturing n units of a certain product is given by the formula P = 3n2 - 90n - 720. (Assume th

at n is a positive integer.) How many units are produced when the profit is $480.00?
Business
1 answer:
sesenic [268]3 years ago
5 0

Answer:

n=40

Explanation:

We want to know the value of n when P=480

P=3n^2-90n-720\\480=3n^2-90n-720\\3n^2-90n-720-480=0\\3n^2-90n-1200=0\\3(n^2-30n-400)=0\\n^2-30n-400=0

From here, we can find the factors of the quadratic equation, we need two numbers that multiplied give -400 and added -30. Since they are factors of 400, we can choose -20x20 or -40x10. When adding -20 and 20 the result is zero, but the sum of -40 and 10 is -30. Then:

n^2-30n-400=0\\(n-40)(n+10)=0\\

The solutions of the quadratic equation aren-40=0 and n+10=0:

n_1=40\\n_2=-10

Since n is a positive integer:

n=40

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a 2-year treasury security currently earns 6.75 percent. over the next two years,the real interest rate is expected to be 3.18 p
Anna35 [415]

The maturity risk premium on the 2-year Treasury security is C. 1.39%

Using this formula

rd = r* + IP + MRP

Where

rd represent Required rate of return on 2-year Treasury Security = 6 75%

r* represent real risk free return = 3.18%

IP represent Inflation Premium = 2.18%

MRP represent Maturity Risk Premium

Let plug in the formula

6.75% = 3.18% + 2.18% + MPR

6.75%=5.36%

MRP=6.75% -5.36%

MRP = 1.39%

Inconclusion the maturity risk premium on the 2-year Treasury security is C. 1.39%.

Learn more here:

brainly.com/question/15314847

3 0
2 years ago
The stockholders’ equity accounts of Indigo Corporation on January 1, 2017, were as follows.
Lubov Fominskaja [6]

Answer:

Indigo Corporation

Journal Entries:

Feb. 1:

Debit Cash Account with $60,000

Credit Common Stock with $40,000

Credit Additional Paid-in Capital with $20,000

To record the issue of 10,000 shares of common stock, par $4 at $6 each.

March 20:

Debit Treasury Stock with $8,000

Debit Additional Paid-in Capital with $6,000

Credit Cash Account with $14,000

To record the repurchase of 2,000 shares of treasury stock at $7 each.

October 1:

Debit Dividends - Preferred Stock with $35,000

Credit Dividends Payable with $35,000

To record preferred stock dividends declared.

November 1:

Debit Dividends Payable with $35,000

Credit Cash Account with $35,000

To record cash payment of dividends.

December 1:

Debit Dividends - Common Stock with $249,000

Credit Dividends Payable with $249,000

To record $0.50 per share common stock dividend.

December 31:

Debit Dividends Payable with $249,000

Credit Cash Account with $249,000

To record payment of dividend.

Debit Net Income with $550,000

Credit Retained Earnings with $550,000

To record the transfer of net income to Retained Earnings.

Explanation:

a) Whereas $60,000 cash was received for the issue, only $40,000 (10,000 x $4) is credited to Common Stock.  The additional of $20,000 is credited to Additional Paid-in Capital.  This shows that the shares were issued above their par value.

b) When 2,000 shares of treasury stock were reacquired at a total cost of $7 per share, the Treasury Stock account is debited with the par value of $4 per share ($8,000).  The above par value difference is taken to the Additional Paid-in Capital account as a debit.

c) Dividends on preferred stock was prorated for 10 months, from January to October.  This is because the percentage dividend is for a year.

d) Dividends on common stock would not be prorated since they are based on annual percentages like preferred stock.  Dividends on the common stock is, therefore, calculable on the outstanding balance.  

e) Treasury Stock is a contra account to the Common Stock as it reduces the balance of common stock outstanding.  The outstanding balance of Treasury Stock increased to 12,000 (10,000 + 2,000).

f) Outstanding common stock reduced from 500,000 shares to 498,000 (500,000 + 10,000 - 12,000).  The additional 10,000 represented the new issue and the 12,000 represented the Treasury Stock.

5 0
3 years ago
Chef Grill Company manufactures two types of cooking grills: the Gas Cooker and the Charcoal Smoker. The Cooker is a premium pro
kenny6666 [7]
Wowie. soup is nice right yes it is
8 0
3 years ago
Pinnocle Corporation has provided the following data from its activity-based costing system: Activity Cost Pool Total Cost Total
Lostsunrise [7]

Answer:

Product margin= $9,607.5

Explanation:

<u>First, we need to calculate the allocation rates:</u>

Assembly= 1,533,840 / 77,000= $19.92 per machine-hour

Processing orders= 91,065 / 1,950= $46.7 per order

Inspection= 139,788 / 1,980= $70.6 per inspection-hour

<u>Now, we need to allocate overhead:</u>

Allocated MOH= Estimated manufacturing overhead rate* Actual amount of allocation base

Assembly= 19.92*660= 13,147.2

Processing orders= 46.7*50= 2,335

Inspection= 70.6*10= 706

Total= $16,188.2

<u>Finally, the product margin for product S78N:</u>

Product margin= 430* (124.3 - 51.25 - 13.06) - 16,188.2

Product margin= $9,607.5

4 0
3 years ago
Data pertaining to a company's joint production for the current period follows
Ainat [17]

Answer:

a. $295.81

Explanation:

Total market value = (310 * 10.2) + (260 * 20.4)

Total market value = 3,162 + 5,304

Total market value = 8466

Joint cost allocated to L on basis of value

= [ (310 * 10.2) / 8,466] * 792

= (3,162 / 8,466) * 792

= $295.81

4 0
3 years ago
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