150-seat restaurant $8,000,000 is needed to construct the restaurant; no additional investment is needed in working capital.

The owners have 6,000,000 in cash and borrow the rest from the bank at 5%.

The projected average seat turnover is 2 (use 320 days open in a year).

The stockholders require a 15% return on their investment annually.

The restaurant pays income taxes at the rate of 25%.

The restaurant's estimated undistributed expenses, not including income taxes, total $2,000,000.

The forecasted cost of food sold and variable labor is 50 percent of sales.

What is the projected annual total number of covers?

The answer is $7400000

Explanation:

Solution

Recall that:

There is no information is given about per unit cost or sales price hence, a reverse calculation is to be made to find out the projected total revenue.

Now,

The reverse calculation to find sales is computed as follows:

Begin from the expected profit + Tax expenses + Interest Expenses + undistributed expenses + variable cost

Thus,

From the calculation of each term is as stated below:

1. The profit expected = 15% return on their investment. it is to be after tax return, total investment = $8000000,

So,

The Profit expected = $8000000 * 15% = $1200000.

2. The tax xxpenses = 25% that is, it should be 25% on taxable profit which is decreased from it and then net profit after tax is available,

Thus,

we have net profit after tax we can compute the taxable profit as = $1200000 / 75% = $1600000. for example, tax amount on taxable profit = $160000 * 25% = $400000.

3. The Interest Expenses = 5% of borrowed fund from bank,

Now,

The borrowed fund from bank = $2000000 (8000000-6000000)

The expenses interest = $ 100000 ($2000000*5%)

4. Undistributed Expenses is stated as follows:

The Undistributed expenses are given in the question = $2000000.

5. Variable cost that is the labor cost and cost of food:

From the question it is given that it is 50% of the sales, which means the remaining 50% is the contribution.

Now

The contribution on reverse calculation is computed as:

Profit + taxes + Interest + fixed expenses

Contribution = 1200000 + 400000 + 100000 + 2000000 = $ 3700000,

Thus,

We say, let the sales be 10, then variable cost be 50 and contribution is 50, that means variable cost = contribution in this case.

so, in proportional calculation, the variable cost = $3700000.

Thus

The projected sales = expected profit + Tax expenses + Interest Expenses + undistributed expenses + variable cost

The total revenue projected = $1200000 + $ 400000 + $100000 + $ 2000000 + $ 3700000

Therefore, the total revenue projected = $ 7400000