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if the demand fuction a commodity is Q=40-0,2P fixed cost are R1 000 and variable cost are R15 per unit procedure then profit function in terms of P is
A survey was taken of 800 randomly selected students asking them if they used public transportation to get to class. 120 answered that they did. Construct a 95% confidence interval for this proportion.
1. Please take a piece of paper and write down the process of establishing confidence interval step by step.
2. According to past experience, 20% of students took public transportation. Test if the situation changed. Solve the problem step by step.
A firm has the possibility of charging different prices in its domestic and foreign markets. The corresponding demand equations are given below by
Q1=300-P1
Q2= 400-2P2
The total cost function is
TC= 5000+100Q
Where Q=Q1+Q2
Determine the priced (in dollers) that the firm should charge to maximise profits
a) with price discrimination
b) without price discrimination
Compare tge profits obtained in parts (a) and (b)
c) What will be the effect of a tax of 8 taka per unit output on the optimal quantity, price and profits for the firm, assuming there is no price discrimination?
A company has found that its cost to purchase a component is ETB 50 per order and the carrying cost is 10% of the average inventory. The company currently purchases ETB 20,000 worth of components in a year. Assuming that same demand will be there in the next year,
a. Suggest a suitable policy of purchase in terms of no. of orders in a year and
b. Quantity to be ordered for each year. Assuming fractional order can be made.
A real estate agent has compiled some data on the selling prices of recently sold homes (in $10 000) compared to their distance from the nearest school (in km). Distance From School (km) 8 7 9 10 4 11 2 11 1 2 12 5 9 8 3 1 6 Selling Price ($ 10 000) 20 17 9 25 10 5 6 31 31 29 2 18 23 12 24 2 15 The real estate agent runs a linear correlation and concludes that, with a correlation coefficient of 𝒓 ≐ −𝟎. 𝟏𝟎, there is no relationship between the distance from a school, and the selling price. Is this completely true? Comment on the validity of his result and provide an explanation for the result. (Hint: Look at a scatter plot of the data. It is not necessary to draw the scatter plot on your paper.)
The manufacturer of a new drug claims that it will lower
blood pressure by 13 points on the average. When the drug was
administered to 6 patients, the following drops in blood pressure
were registered: 12, 8, 15, 9, 10 and 16. Is the claim sustained at
the 0.05 level of significance.
From the past experience, a prof knows that the test score of a student taking his final xm is a random variable with mean 75 and variance 25.what os can be said about the probability that a student will score between 65 and 85.
You intercept the message "KVW?TA!KJB?FVR."(The blanks after? and R are part of the message,but the final is not.You know that a linear enciphering transformation is being used with a 30- letter alphabet, in which A-Z have numerical equivalents 0-25, blank=26, ?=27, !=28, .=29.You further know that the first six letters of the plain text are "C.I.A". Find the deciphering matrix A inverse and the full plain text message.
A sample random sample of size 4 is drown with replacement from a population with s.d. 6 what is the S. E of the sample mean?
You are the Manager of a new computer manufacturing company, Fongkomputer. Tests have shown that the mean life time of your computers is normally distributed, and on average your computers last for only 9 months, with a standard deviation of 3 months. The managing director wants the chance of computer being returned within its guarantee period to be 10%. Suggest a guarantee period that will achieve this objective. Round your solution to the nearest month
