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Explain consumer’s equilibrium condition with help of indifference curve approach. How will 

a change in consumer’s income affect his equilibrium?



How many grams of Iron are produced when 25.0g Fe2O3 reacts with Aluminum? Show your complete solution including the balanced chemical equation.

Consider the case in which the items are delivered at a constant rate e and the demand arrives at a constant rate d. For given d and changing c, when the ratio of Q/I reaches the maximum, and when does it reach the minimum? If you have the option to control c, do you want this ratio to reach the maximum or the minimum? Explain why?


Two balls are drawn in succession without replacement from a box containing 3 red balls and 4 yellow balls. Find the possible outcomes and the values X of the random variable X, where X is the number of yellow balls. Use R for red balls and Y as yellow balls

c) The Star hotel was burned down in a fire and the manager decided to accommodate the



guests in 4–person and 8-person tents. The tents were to be hired at a cost of Kshs 1,500 and



Kshs 4,500 per night respectively, the space available could accommodate at most 13 tents



and the manager had to cope with at least 64 guests.



Required



Formulate this as a linear programming model that could be used to determine the number



of tents of each type that could pull up in order to minimize the overall cost.


By using the knowledge of relationships among the various costs of production concepts fill the blank space of the following table



Quantity   TC   TFC TVC ATC AVC MC

0        125    –        –      –        –       –

10          –       –        –       –         –        5    

20          –       –        –      105       –       –

30          –       –      110      –         –      –

40          255     –        –       –        –       –

50            –       –        –       –        3       –

60           –       –        –       –       –       3


Create class SavingsAccount. Use a static variable annualInterestRate to store the annual

interest rate for all account holders. Each object of the class contains a private instance variable

savingsBalance indicating the amount the saver currently has on deposit. Provide method

calculateMonthlyInterest to calculate the monthly interest by multiplying the

savingsBalance by annualInterestRate divided by 12—this interest should be added to

savingsBalance. Provide a method modifyInterestRate that sets the

annualInterestRate to a new value.

Write a program to test class SavingsAccount. Instantiate two savingsAccount objects, saver1

and saver2, with balances of $2000.00 and $3000.00, respectively. Set annualInterestRate to

4%, then calculate the monthly interest for each of 12 months and print the new balances for both savers.

Next, set the annualInterestRate to 5%, calculate the next month’s interest and print the new

balances for both savers. Also, provide the UML class diagram of your class.


What is p ⊕ p ? true or false


A.classify the following random variables as discrete or continuous.





1.The weight of the professional wrestlers

once kg of air expand at a constant temperature from a pressure of 820 kpa and a volume of 3 m³ to a pressure of 220 kpa. determine. a. change of Internal Energy b. change of Enthalpy

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