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slega [8]
3 years ago
12

Shoshone County uses the consumption method to account for supplies. At the beginning of the year the city had no supplies on ha

nd. During the year the city purchased $450,000 of supplies for use by activities accounted for in the general fund. The city used $300,000 of those supplies during the year. At fiscal year-end, the appropriate account balances on the general fund financial statements would be a) Expenditures $450,000; Supplies inventory $150,000. b) Expenditures $450,000; Supplies inventory $0. c) Expenditures $300,000; Supplies inventory $150,000. d) Expenditures $300,000; Supplies inventory $0.
Business
1 answer:
madreJ [45]3 years ago
6 0

Answer:

a) Expenditures $450,000; Supplies inventory $150,000

Explanation:

At fiscal year-end, the appropriate account balances on the general fund financial statements would be:

Supplies for use by activities accounted for in the general fund $450,000

Less supplies used during the year $300,000

Balance =$150,000

Hence;

Expenditures $450,000; Supplies inventory $150,000

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3 years ago
The Beef-up ranch feeds cattle for midwestern farmers and delivers them to processing plants in Topeka,Kansas and Tulsa, Oklahom
AfilCa [17]

Answer:

a. Min Z = 2x₁ + 2.50x₂ + 3x₃

Subject to constraints :

3x₁ + 2x₂ + 4x₃ ≤ 128           .......(1)

3x₁ + x₂ + 3x₃ ≤ 160             ........(2)

x₁ + 0x₂ + 2x₃ ≤ 32              .........(3)

6x₁ + 8x₂ + 4x₃ ≤ 256          .........(4)

3x₁ + 2x₂ + 4x₃ ≥ 64            ..........(5)

3x₁ + x₂ + 3x₃ ≥ 80              ..........(6)

x₁ + 0x₂ + 2x₃ ≥ 16              ...........(7)

6x₁ + 8x₂ + 4x₃ ≥ 128         ............(8)

x₁ ≤ 15                                 ...........(9)

x₂≤ 15                                  ...........(10)

x₃ ≤ 15                                 ...........(11)

x₁ , x₂, x₃ ≥ 0

b. x₁ = 15 ,  x₂ = 9.5 , x₃ = 8.5

c. The optimal solution is Z = 79.25

Explanation:

Given - The table is as follows :

  • Nutrient           Feed 1                    Feed 2                      Feed 3
  •    A                      3                              2                                4
  •    B                      3                               1                                 3
  •    C                      1                                0                                2
  •    D                      6                               8                                4

The minimum requirement per cow each month is 4 pounds of nutrient A, 5 pounds of nutrient B, 1 pound of nutrient C, and 8 pounds of nutrient D. However, cows should not be fed more than twice the minimum requirement for any nutrient each month. Additionally, the ranch can only obtain 1,500 pounds of each type of feed each month. Because there are usually 100 cows at the beef-up ranch at any given time, this means that no more than 15 pounds of each type of feed can be used per cow each month.

To find - a. Formulate a linear programming problem to determine how  

                  much of each type of feed a cow should be fed each month.

              b. Create a spreadsheet model for this problem, and solve it using

                   Solver.

              c. What is the optimal solution?

Proof -

a.

Let feed 1 per cow per month = x₁

     feed 2 per cow per month = x₂

     feed 3 per cow per month = x₃

Now,

As given, The cost per pound of feeds 1,2, and 3 are $2.00, $2.50, and $3.00, respectively.

So, we have to minimize the cost , Z = 2x₁ + 2.50x₂ + 3x₃

Subject to constraints :

3x₁ + 2x₂ + 4x₃ ≤ 4(32)

3x₁ + x₂ + 3x₃ ≤ 5(32)

x₁ + 0x₂ + 2x₃ ≤ 1(32)

6x₁ + 8x₂ + 4x₃ ≤ 8(32)

∴ we get

Min Z = 2x₁ + 2.50x₂ + 3x₃

Subject to constraints :

3x₁ + 2x₂ + 4x₃ ≤ 128           .......(1)

3x₁ + x₂ + 3x₃ ≤ 160             ........(2)

x₁ + 0x₂ + 2x₃ ≤ 32              .........(3)

6x₁ + 8x₂ + 4x₃ ≤ 256          .........(4)

Now, as given

However, cows should not be fed more than twice the minimum requirement for any nutrient each month.

∴ we have

3x₁ + 2x₂ + 4x₃ ≥ \frac{128}{2}

3x₁ + x₂ + 3x₃ ≥ \frac{160}{2}

x₁ + 0x₂ + 2x₃ ≥ \frac{32}{2}

6x₁ + 8x₂ + 4x₃ ≥ \frac{256}{2}

and also

No more than 15 pounds of each type of feed can be used per cow each month.

⇒x₁ , x₂, x₃ ≤ 15

So,

The LPP model becomes

Min Z = 2x₁ + 2.50x₂ + 3x₃

Subject to constraints :

3x₁ + 2x₂ + 4x₃ ≤ 128           .......(1)

3x₁ + x₂ + 3x₃ ≤ 160             ........(2)

x₁ + 0x₂ + 2x₃ ≤ 32              .........(3)

6x₁ + 8x₂ + 4x₃ ≤ 256          .........(4)

3x₁ + 2x₂ + 4x₃ ≥ 64            ..........(5)

3x₁ + x₂ + 3x₃ ≥ 80              ..........(6)

x₁ + 0x₂ + 2x₃ ≥ 16              ...........(7)

6x₁ + 8x₂ + 4x₃ ≥ 128         ............(8)

x₁ ≤ 15                                 ...........(9)

x₂≤ 15                                  ...........(10)

x₃ ≤ 15                                 ...........(11)

x₁ , x₂, x₃ ≥ 0

b.)

We use simplex method calculator  to solve this LPP Problem

we get

x₁ = 15 ,  x₂ = 9.5 , x₃ = 8.5

c.)

The optimal solution is Z = 79.25

4 0
3 years ago
It costs Sheffield Company $26 per unit ($18 variable and $8 fixed) to produce its product, which normally sells for $38 per uni
Usimov [2.4K]

Answer:

$5,400

Explanation:

The computation of effect on net income is shown below:-

Incremental revenue       $109,200

(5,200 × $21)

Less: Variable cost            $93,600

(5,200 × $18)

Less: Shipping cost          $10,200

(5,200 × $2)

Incremental profit (loss)   $5,400

Therefore, The Net income increases by $5,400 with the above computation.

8 0
3 years ago
Financial statement data for the years ended December 31 for Dovetail Corporation follows:2016 2015Net income $448,750 $376,000
Mandarinka [93]

Answer:

The earnings per share for 2016 are $5.45 per share while the earnings per share for 2015 were $5.60 per share.

The earnings per share has fallen in 2016 as compared to 2015, thus there is an unfavorable trend.

Explanation:

Earning per share (EPS) is the amount of net income allocable to each share of common stock outstanding. It is a useful measure for investors as it tells them how much $ return a business in earning on every share of common stock. The earnings per share is calculated as follows,

Earnings per share = (Net Income - Preferred dividends) / Weighted average shares on common stock outstanding

<u />

<u>The earnings per share for Dovetail is</u>

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2016 EPS = (448750 - 40000) 75000    = $5.45 per share

4 0
4 years ago
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