Lavage Rapide is a Canadian company that owns and operates a large automatic car wash facility near Montreal. The following table provides data concerning the company’s costs:

For example, electricity costs are $1,400 per month plus $0.08 per car washed. The company expects to wash 8,000 cars in August and to collect an average of $6.90 per car washed.

The actual operating results for August are as follows:

Required:

Calculate the company's revenue and spending variances for August. (Indicate the effect of each variance by selecting "F" for favorable, "U" for unfavorable, and "None" for no effect (i.e., zero variance). Input all amounts as positive values.)

Lavage Rapide is a Canadian company that owns and operates a large automatic car wash facility near Montreal. The following table provides data concerning the company’s costs:

For example, electricity costs are $1,100 per month plus $0.08 per car washed. The company expects to wash 8,500 cars in August and to collect an average of $6.80 per car washed.

The actual operating results for August are as follows:

Required:

Calculate the company's revenue and spending variances for August. (Indicate the effect of each variance by selecting "F" for favorable, "U" for unfavorable, and "None" for no effect (i.e., zero variance). Input all amounts as positive values.)

Lavage Rapide is a Canadian company that owns and operates a large automatic car wash facility near Montreal. The following table provides data concerning the company’s costs:

For example, electricity costs are $1,400 per month plus $0.06 per car washed. The company expects to wash 8,200 cars in August and to collect an average of $6.10 per car washed.

The actual operating results for August are as follows:

Required:

Calculate the company's revenue and spending variances for August. (Indicate the effect of each variance by selecting "F" for favorable, "U" for unfavorable, and "None" for no effect (i.e., zero variance). Input all amounts as positive values.)

Lavage Rapide is a Canadian company that owns and operates a large automatic car wash facility near Montreal. The following table provides data concerning the company’s costs:

For example, electricity costs are $1,300 per month plus $0.09 per car washed. The company expects to wash 8,200 cars in August and to collect an average of $6.40 per car washed.

Required:

Calculate the company's revenue and spending variances for August. (Indicate the effect of each variance by selecting "F" for favorable, "U" for unfavorable, and "None" for no effect (i.e., zero variance). Input all amounts as positive values.)

Lavage Rapide is a Canadian company that owns and operates a large automatic car wash facility near Montreal. The following table provides data concerning the company’s costs:

For example, electricity costs are $1,400 per month plus $0.09 per car washed. The company expects to wash 8,500 cars in August and to collect an average of $6.00 per car washed.

The actual operating results for August appear below.

Required:

Calculate the company's revenue and spending variances for August. (Indicate the effect of each variance by selecting "F" for favorable, "U" for unfavorable, and "None" for no effect (i.e., zero variance). Input all amounts as positive values.)

IAS 7 - Consolidated Cash Flow Statement

The following are the consolidated financial statement from the records of MT Bhd (MTB) for 2011 incorporating its subsidiary JK Bhd (JKB).

Consolidated Statement of Comprehensive Income for the year ended 31 December 2011

Consolidated Statement of Financial Position as at 31 December 2011

Additional Information:

1).     MTB had acquired 80% interest in JKB on 1 January 2001. On that date the shareholders’ funds of JKB totaled RM800K. Before the purchase, an item of long term asset which was undervalued by RM50K was subsequently revalued. MTB had paid RM830K for JKB shares. The payment consisted of 200K shares (RM1 par) and RM230K cash. The market value of MTB shares on the acquisition date was RM3 per share.

2).     There is no impairment of goodwill for the current year.

3).     During the year 2011, MTB paid RM320K dividend. JKB earned net income of RM500K and paid RM150K dividend.

4)      During the year an additional piece of land was purchased for RM500K. The existing land was revalued to RM1,200K.

5)      During the last quarter, a piece of machinery which had originally cost RM180K and had been depreciated RM70K was sold by MTB for RM130K. Another machine was immediately purchased for RM270K paying by a promissory note of RM70K and the balance by cash.

You are required to prepare:

a).     The worksheet for the preparation of a consolidated cash flow statement.

b).     The consolidated statement of cash flows for the year ended 31 December 2011.

Suppose that you won an exclusive bid to sell Christmas trees from National Park Service (NPS). However, NPS requires that you plant one and a half multiple of any number of trees you cut. For example, if you cut 4 trees, you have to plant 8 trees. If you cut 9, you have to plant 27 trees. The NPS may argue that the number of trees that survive is proportional to the number of tree that you grow. Or, they might just do so to prevent you from cutting all trees. Assume further that the cost of cutting and transporting a tree is $2. The cost of growing a tree is $1.  
Questions:
A.) Write an equation that describes total cost of cutting any number of trees.
B.) Graph total cost function
C.) Derive and graph the average cost equation
D.) Derive and graph the marginal cost equation

Now, assume that as a monopolist, you can sell Christmas trees directly to customers and charge them a higher retail price. Or, on the other hand, you can sell Christmas tree to retail stores and charge them lower wholesale price. It is logical to assume that ordinary customer demand tends to be less elastic than the demand of retail stores. Assume that you estimate the demand of retail stores and customers and find:

P= 3000 – 0.5Q  (Wholesale demand)
P= 2000-2Q   (Retail Demand)

Questions
E) Write the equations that describe total revenue for each market
F.) Graph your total revenue equations
G.) Derive the marginal revenue equations for each market
H.) Graph your answer
E
I.) Find the profit maximizing price and quantity for each market
J.) Write the equation that describe total revenue for the two market combined
K.) Derive the marginal revenue equations for the two markets combined
L.) Graph your answer
M.) Find the profit maximizing price and quantity for both markets combined.
N.) What is better, to combine both market and charge a single price or segregate the two markets and charge different prices? Explain your answer

A group of 500 unicorns have magically appeared at Griffith Park. Researchers have speculated social distancing restrictions have enabled them to grace our lands. Interestingly, the genetic makeup of unicorns is unlike that of humans. They are triploid species, meaning that 3 alleles make up a given genotype. Researchers have observed variation in their coat colors with 40 unicorns having red coats (WWw), 250 white coats (www), 110 black coats (WWW), and 100 blue coats (wwW).

A. Calculate the genotype frequency for each given genotype: WWw, www, WWW, and wwW.

B. Calculate the allele frequency for each given allele: W and w.

C. Fast forward 50 years into the future, a new generation of unicorns have emerged with a total of 150. Researchers make the following observation: 5 red coats (WWw), 130 white coats (www), 7 black coats (WWW), and 8 blue coats (wwW). Compare this generation to the parent generation. Is the new generation of unicorns undergoing Hardy Weinberg Equilibrium? If not, list at least 2 evolutionary forces that may have occurred.

4) Last year we went to Zanvoort Circuit Park in North Holland to retest how many laps women and men drivers could do in half an hour. Historical data available gave us a basis for standard deviations of 3.5 and 2.63 laps, respectively Use men pilots as  x̄1. Below are the summaries of our new findings:

(INCLUDE SKETCH) (ROUND 5 DECIMAL PLACES)

a) Find a 95% confidence interval for the difference here. Explain the meaning of the results.

b) Now perform the appropriate hypothesis test, and explain your results.

4) Last year we went to Zanvoort Circuit Park in North Holland to retest how many laps women and men drivers could do in half an hour. Historical data available gave us a basis for standard deviations of 3.5 and 2.63 laps, respectively Use men pilots as  x̄1. Below are the summaries of our new findings:

(Show all work for credit. Including Normalcdef(a,b,c,d), INVorm(a,b,c) z, z*,SD,SE and CI.Do not forget to check conditions for each story, and sketches for hypothesis only. Round answers to the nearest five decimal places. PLEASE BE NEAT (If you can handwrite the answer to this question PLEASE), and show all formulas!!!)

a) Find a 95% confidence interval for the difference here. Explain the meaning of the results.

b) Now perform the appropriate hypothesis test, and explain your results.