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cestrela7 [59]
2 years ago
12

Cullumber Company expects to have a cash balance of $138,000 on January 1, 2022. These are the relevant monthly budget data for

the first two months of 2022. 1. Collections from customers: January $213,000, February $438,000. 2. Payments to suppliers: January $120,000, February $225,000. 3. Wages: January $90,000, February $120,000. Wages are paid in the month they are incurred. 4. Administrative expenses: January $63,000, February $72,000. These costs include depreciation of $3,000 per month. All other costs are paid as incurred. 5. Selling expenses: January $45,000, February $60,000. These costs are exclusive of depreciation. They are paid as incurred. 6. Sales of short-term investments in January are expected to realize $36,000 in cash. Cullumber Company has a line of credit at a local bank that enables it to borrow up to $75,000. The company wants to maintain a minimum monthly cash balance of $60,000.
Business
1 answer:
Alex17521 [72]2 years ago
3 0

Answer and Explanation:

The preparation of cash budget is shown below:-

                                 Cash Budget

                                          January           February

Beginning cash balance $1,38,000 $72,000

Add: Receipts:-  

Collections from customers$2,13,000       $4,38,000

Sale of marketable securities$36,000 $-  

Total receipts                          $2,49,000     $4,38,000

Total available cash               $3,87,000 $5,10,000

Less: Disbursements  

Direct materials                      $1,20,000       $2,25,000

Direct labor                              $90,000        $1,20,000  

Selling and administrative

expenses                               $1,05,000         $1,29,000

Total disbursements              $3,15,000        $4,74,000

Excess

(deficiency of available cash

over cash disbursements)     $72,000          $36,000

Financing:  

Add: Borrowings                    $ -                    $24,000

Ending cash balance           $72,000           $60,000

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The complete question is as follows:

The admission directory of Big City University has a novel idea. He proposed using the IQ scores of current students as a marketing tool. The university agrees to provide him with enough money to administer IQ tests to 50 students. So the director gives the IQ test to an SRS of 50 of the university’s 5000 freshman. The mean IQ score for the sample is xbar=112. The IQ test he administered is known to have a σ of 15. What is the 95% Confidence Interval about the mean? What can the director say about the mean score of the population of all 5000 freshman?

Answer: The 95% confidence interval about the mean is Confidence interval = 107.84 \leq \mu \leq 116.16.

The director can say that he is 95% confident that the mean IQ score of the 5000 freshmen lies between 107.84 and 116.16.

We follow these steps to arrive at the answer:

Since the population standard deviation of the IQ test is known, we can use the Z scores to find the confidence interval.

The formula for the confidence interval about the mean is:

Confidence interval = \overline{X}\pm Z*\frac{\sigma}{\sqrt{n}}

In the equation above, X bar is known as the point estimate and the second term is known as Margin of Error.

The Critical Value of Z at the 95% confidence level is 1.96.

Substituting the values in the question in the equation above we have,

Confidence interval = \112\pm 1.96*\frac{15}{\sqrt{50}}

Confidence interval = \112\pm 4.157787873}

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