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A firm's production function is described by the following equation 𝑸=𝟏𝟎,𝟎𝟎𝟎𝑳−𝟑𝑳 𝟐 where L stands for the labor units. (20 points).


a) Draw a graph for this equation. Use the quantity produced on the y-axis and the labor units on the x-axis.


b) What is the maximum production level?


c) How many units of labor are needed at that point? 


An American businessman visiting London changed US$500 into English pounds when the rate of exchange was $1.75 to the pound. He spent £257 and changed the rest back into dollars when the rate of exchange was $1.55 to the pound. At each transaction the bank charged a commission of 2%. How many dollars did the man have at the end of these transactions?


To prevent dehydration, intravenous (IV) solution is given to hospital patients. Commonly used are solutions containing sodium chloride and glucose. A 150.0-mL IV solution contains 6.60 grams of glucose (CHO). What is the molarity of this solution? The molar mass of glucose is 180.16 g/mol.









Use a direct proof to show that the sum of two odd integers(k and l) is even.


the standard deviation of adults riding a bus is 1.5

a book has four misprints per page(on avarage ),what is the probabilitythat a page open at random will have no misprints on it?


Construct a curve then shade the region corresponding to the obtained area from The weights (in kg) of 11-STEM B follow a normal distribution and has a mean of 50 and a standard deviation of 5. How many students have weights greater than 57?

The weights(kg) of 11 stem B follow a normal distribution and has a mean of 50 and a standard deviation of 5 how many students have weights greater than 57?

Regular plate numbers in the Philippines consist of 3 letters followed by three digits from 0 to 9. How many different license plate numbers with different letters and different digits are there having T as the first letter?

THE FOLLOWING ARE THE HEIGHT IN CENTIMETER AND HEIGHTS IN KILOGRAM OF 5 TEACHERS IN A CERTAIN SCHOOL.DETERMINE THE RELATIONSHIP BETWEEN THE HEIGHT (CM) AND WEIGHT (KG) OF THE TEACHERS


TEACHER A,B,C,D,E,F,G


HEIGHT (CM) X 163,160,168,159,170


WEIGHT (KG) Y 52,50,64,51,69

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