In each of the following case, find the unknown variables: be sure to show all work

Smith Company started business on September 1. Smith had credit sales of $200,000 in September

and $300,000 in October. The pattern for collection of cash from customers is expected to be 40%

in the month of sale (subject to a 2% cash discount), 50% in the month following the month of sale,

and 7% in the second month following the month of sale, with 3% uncollectible. How much cash

did Smith Company receive from customers on account during October?

A business makes two products C and D with the following sales prices and cost data:
                                                               C                                 D
Selling price per unit                             $25                             $30
Direct material cost per unit                 $8                                 $7
Direct labour cost (0.5 hrs. product     $8  per unit                    $6 per hour
Variable overhead                                $1 per unit                    $2 per direct labour hour
Required
1. Determine the forecast of total costs and profits for a month when the business expects to
make and sell 1 200 units of product C and 1 800 units of product D.

A firm has two $1,000, mutually exclusive investment alternatives with the following cash inflows. The cost of capital is 6 percent. Year Cash Inflow A B 1 $175 $1,100 2 175 - 3 175 - 4 175 - 5 175 - 6 175 - 7 175 - 8 175 - a. What is the internal rate of return on each investment? Which investment should the firm make? b. What is the net present value of each investment? Which investment should the firm make? c. If the cash inflows can be reinvested at 8 percent, which investment should be made?

1.    What is an F ratio and how is it calculated?

2.    If SS_between = 30, SS_within = 40, df_between = 3, and df_within = 20, then F = ______.

3.    If df_between = 3, and df_within = 60, if alpha is set at .05, then F_crit =______.

4.    If the sample size is 30 and the mean score for group one is 5.6, mean score for group two is 7.8, and mean score for group three is 4.8, what is the SS between of this study?

According to a research​ institution, men spent an average of $132.69 on​ Valentine's Day gifts in 2009. Assume the standard deviation for this population is $45 and that it is normally distributed. A random sample of 10 men who celebrate​ Valentine's Day was selected. Complete parts a through e.

a. Calculate the standard error of the mean.

sigma Subscript x σx=

​(Round to two decimal places as​ needed.)

b. What is the probability that the sample mean will be less than $130?

P(x<$130)=

​(Round to four decimal places as​ needed.)

c. What is the probability that the sample mean will be more than $140?

P(x>$140)=

​(Round to four decimal places as​ needed.)

d. What is the probability that the sample mean will be between $120 and $165?

(P$120≤x≤$165)=

​(Round to four decimal places as​ needed.)

e. Identify the symmetrical interval that includes​ 95% of the sample means if the true population mean is

​$132.69.

$___≤ x ≤​ $___

(Round to the nearest dollar as​ needed.)

Consider a simple economy that produces two goods: pencils and muffins. The following table shows the prices and quantities of the goods over a three-year period.

From 2019 to 2020, nominal GDP   , and real GDP   .

The inflation rate in 2020 was   .

Why is real GDP a more accurate measure of an economy's production than nominal GDP?

Real GDP is not influenced by price changes, but nominal GDP is.

Real GDP does not include the value of intermediate goods and services, but nominal GDP does.

Real GDP measures the value of the goods and services an economy produces, but nominal GDP measures the value of the goods and services an economy consumes.

The Super-warm Company produces two electric heaters (products A and B) that require both heating elements and electrical components. The owner currently determines how many units of each product to be produced so as to maximize the profit. For each unit of product A, 3 units of heating elements and 1 unit of electrical components are required. For each unit of product B, 1 unit of heating elements and 2 units of electrical components are required. The company has 750 units of heating elements and 600 units of electrical components. Each unit of product A, up to 130 units, gives a profit of $30, and each unit of product B gives a profit of $20. Any excess over 130 units of product A brings no extra profit, so such an excess has been ruled out.

a) Formulate a Linear Programming model for this problem.

b) Use the graphical method to solve this model. What is maximum total profit?

Kempton owns a plumbing repair service company that has been in business for thirty years in Shreveport Louisiana (population 198,675). The company employs 50 repairmen and repairwomen that work in two person teams doing plumbing repair jobs. Kempton’s son Myron is going to be taking over the business and has lots of ideas about improving incentives. Equipped with what he has learned in the MBA program at LSU, he has established that (1) customer satisfaction, (2) capacity utilization (the plumbing repair service people need to be working when they are on the clock) and (3) the profit margin of the service (some repairs involve more parts than others and the mark up the customers on the parts is high) are the company’s profit drivers.

Myron has decided to implement a program where the plumber’s bonuses are based on a formula that has 40% weight on customer satisfaction (measured by post-service customer satisfaction surveys), 30% weight on capacity utilization (measured by number of jobs completed) and 30% weight on profit margin (measured by number of high mark-up jobs completed).

Explain to Myron why, while he would like to see improvements in the plumbers’ performance on all three dimensions, he is more likely to see significant improvement on one dimension and little or no improvement on the other two dimensions.

Question 4

Suppose Joey holds a share of SCB common stock, currently valued at $48. She is concerned that over the next few months the value of her holding might decline and she would like to hedge that risk by supplementing her holding with one of the following two option positions, all of which expire at the same point in the future.

a. Complete a table similar to the following for each of the following positions:

i. A long position in a put option with an exercise price of $45 and a premium of $2.

ii. A short position in a call option with an exercise price of $45 and a premium of $4.

b. Graph the combined terminal position value for each of the above hedged positions, using combined terminal position value on the vertical axis (Y) and SCB’s expiration date stock price on the horizontal axis (X).

c. Explain which of the two hedging strategies mentioned above is better if Joey’s objective is also to enjoy the upside gain of the stock.