Number of partitions
Prove that the number of partitions of n in which no part appears exactly once is equal to the number of partitions of n with no parts congruent to 1 or 5 (mod 6).
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A lolly manufacturer makes red, green, yellow and orange coloured jubes. He has made 245700 red jubes, 132300 green jubes, 114660 yellow jubes and 207900 orange jubes. The manufacturer desires to distribute the lollies equally among packers so th
Explain the marginal revenue product (MRPL ) and marginal cost (MCL ) of labor. Describe why the condition MRPL = MCL is necessary for profit maximization.
The interest rate of a credit card company is 0.5% per month. Richard makes a purchase of $1000 and makes his payment after 14 months. What is the total amount due.
In 2014 in a country with a labor force of 100 million, 6 million people were unemployed. In 2014 number of unemployed people increased to 7.750 million.
Discuss in detail, how the firms in a perfectly competitive market will respond to long-run profits and losses. Include an explanation of each response affects the price level.
A body of constant mass m is thrown vertically upward with initial velocity. If the body faces an air-resistance that is propotional to its velocity, calculate
An electronics firm invested $60,000 in a precision inspection device. It cost $4000 to operate and maintain in first year and $3000 in each later year. At the end of four years, the firm changed their inspection procedure, eliminating need for de
A scale model of a statue is 7 inches tall. The scale of the model is 1in/1.5ft. What is the actual height of the statue?
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