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igomit [66]
3 years ago
12

Mike's Motors Corp. manufactures motors for dirt bikes. The company requires a minimum $30,000 cash balance at each month-end. I

f necessary, the company borrows to meet this requirement, at a cost of 3% interest per month (paid at the end of each month). Any cash balance above $30,000 at month-end is used to repay loans. The cash balance on July 1 is $41,000, and the company has no outstanding loans at that time. Forecasted cash receipts and forecasted cash payments (other than for loan activity) are as follows.
Cash Receipts Cash Payments
July $92,000 $120,000
August 118,000 106,900
September 157,000 134,400

Required:
Prepare a cash budget for July, August, and September.
Business
1 answer:
Lapatulllka [165]3 years ago
6 0

Answer:

Mike's Motors Corp.

Cash Budget

                                             July             August        September

Beginning balance          $41,000          $30,000          $30,000

Cash receipts                   92,000            118,000           157,000

Total cash available      $133,000         $148,000        $187,000

Cash payments              120,000           106,900           134,400

Interest/Loan repayment                         11,100              6,602

Cash balance                    13,000            30,000            45,998

Cash to borrow                 17,000                      0               0

Minimum cash balance $30,000          $30,000          $30,000

Explanation:

a) Data and Calculations:

Minimum cash balance = $30,000

Interest rate on borrowings = 3% per month

Beginning cash balance = $41,000

Cash Budget

                                           July             August        September

Beginning balance        $41,000          $30,000          $30,000

Cash receipts                 92,000            118,000           157,000

Total cash available    $133,000         $148,000        $187,000

Cash payments            120,000           106,900           134,400

Interest/Loan repayment                         11,100              6,602

Cash balance                  13,000            30,000            45,998

Cash to borrow               17,000                      0               0

Minimum cash balance 30,000            30,000            30,000

Loan repayment:

In August:

Interest is paid =   $510 ($17,000 * 3%)

Loan is repaid = 10,590

Total paid =        $11,100

Balance of loan unpaid = $6,410 ($17,000 - 10,590)

In September:

Interest on loan = $192 ($6,410 * 3%)

Loan repaid =     6,602 ($6,410 + 192)

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A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month is given by upper c equals 0.
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The cost per month is increasing at a rate $365.

Explanation:

Differentiation Formula

  • \frac{d}{dx}(x^n)= nx^{n-1}  
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Given that,

A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month is given by

c=0.2x^2+10,000.

Again given that,

the rate of changing production is 13 unit per month

i.e \frac{dx}{dt}=13

To find the cost per month, we need to find out the value \frac{dc}{dt} when production is changing at the rate 13 units per month and the production is 70 units.

c=0.2x^2+10,000

Differentiating with respect to t

\frac{d}{dt}(c)=\frac{d}{dt}(0.2x^2)+\frac{d}{dx}(10,000)

\Rightarrow \frac{dc}{dt}=0.2\frac{d}{dt}(x^2)+\frac{d}{dx}(10,000)

\Rightarrow \frac{dc}{dt}=0.2\times 2x^{2-1}\frac{dx}{dt}+0

\Rightarrow \frac{dc}{dt}=0.4x\frac{dx}{dt}

Plugging \frac{dx}{dt}=13

\Rightarrow \frac{dc}{dt}=0.4x\times 13

\Rightarrow \frac{dc}{dt}=5.2x

\frac{dc}{dt}|_{x=70}=5.2\times 70 [ plugging x=70]

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[ The unit of c is not given. Assume that the unit of c is dollar.]

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