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A consumer has the utility function over goods X and Y,
U(X, Y) = √x + √y
Let the price of good X be given by PX, let the price of good Y be given by PY, and let
income be given by M.
(a) Derive the consumer’s Marshalian demand functions for good X and good Y. (5)
(b) Is good Y normal or inferior? (3)
(c) If PX = 2, PY = 1, and M = 12, compute the utility maximizing consumption bundle of
goods X and Y.
A monopolist operates under two plants, 1 and 2. The marginal costs of the two plants are given by MC1 = 20 + 2Q1 and MC2 = 10 + 5Q2 where Q1 and Q2 represent units of output produced by plant 1 and 2 respectively. If the price of this product is given by 20 – 3(Q1 + Q2), how much should the firm plan to produce in each plant, and at what price should it plan to sell the product?
(1,2,-1,0),(1,3,1,2), (4,2,1,0), (6,1,0,1) examine whether the following vectors are linearly independent or dependent.
The average monthly salary for a newly hired employeeat a bank is 20,000.If the hiring salary at this bank is normally distributed with a standard deviation of 2,800 ,what is the probability that a newly hired employee randomly selected from a list of receives a monthly salary which is less than 16,000
A monopolist operates under two plants, 1 and 2. The marginal costs of the two plants are given by MC1 = 20 + 2Q1 and MC2 = 10 + 5Q2 where Q1 and Q2 represent units of output produced by plant 1 and 2 respectively. If the price of this product is given by 20 – 3(Q1 + Q2), how much should the firm plan to produce in each plant, and at what price should it plan to sell the product?
normal curve that corresponds to the required area.
Jose who lives in Zambales harvested mangoes in her plantation for
export. The average weight of the harvested fruits is 2 kilos with a
standard deviation of 0.4 kilo. Assume that the variable is normally
distributed.
a. What is the probability that a randomly selected mango will weigh less
than 1.5 kilos?
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b. A potential importer intends to take a sample of 4 mangoes and will not
place an order if the sample mean is less than 1.5 kilos. What is the
probability that the importer will not place an order?
given the mean μ 124 and standard deviation is σ = 3. find the z-value that corresponds to a score X=118. then find and graph the proportion of the are greater than the computer z-value
Mike earns R500 per month and he is required to pay SARS 13% of his salary. How much is Mike left with after paying SARs monthly?
How would you disseminate your advocacy in mathematics literacy in this time of pandemic?
The tangent to the curve 𝑦 = 2𝑥²− 5𝑥 + 6 at the point (2,4) intersects the normal to the same curve at the point (1,3) at point 𝑄. Find the coordinates of 𝑄
#340153 on Dec 2023