Other Math Answers

The toy factory produces X cast-iron toy aeroplanes per month at a fixed cost of R25 000. Each aeroplane costs R15 to produce and it is sold for R45 each. The total cost and profit functions are [1] T C = 15X + 25 000; π = 30X − 25 000. [2] T C = 45X + 25 000; π = 30X − 25 000. [3] T C = 45X; π = 60X − 25 000. [4] T C = 25 000 + 15X; π = 30X + 25 000. 

Questions 11 and 12 are based on the following information: Consider the following graph showing the demand and supply functions for a certain product: Q P (1) (2) D C B A 13 Question 11 Which line represents the demand function and which represents the supply function? [1] Line BD represents the supply function and there is no demand line. [2] Both lines (1)and (2) represent supply functions and there is no demand line. [3] Line (1) represents the demand function and line (2) the supply function. [4] Line (1) represents the supply function and line (2) the demand function. Question 12 Which of the following statements is true? [1] Point D is the break-even point. [2] Point C represents the price that no consumers will accept. [3] The area of triangle ABD represents the consumer surplus at equilibrium. [4] The area of triangle ACD represents the producer surplus at equilibrium.

Which one of the following statements is true? Price elasticity of demand measures [1] changes in a product’s price. [2] sensitivity of quantity demanded to change in price. [3] percentage change in quantity demanded. [4] the relationship between price and quantity demanded.

The demand function of a product is given as P = 70 − 3Q, where P and Q are the price and quantity, respectively. Determine the price elasticity of demand if the price is equal to P = 10. [1] −1,167 [2] −0,960 [3] −0,800 [4] −0,167

16. A store sells ice cream. Each ice cream contains two tablespoons of ice cream. Possible flavors are vanilla, strawberry, chocolate and mint. Both spoons can be the same taste or different flavors. In one hour the store sells 180 tablespoons of ice cream. The pie chart presents the following data: Chocolate = 100ok, vanilla = 90⁰, strawberries = 150 lu, mint = x⁰. How many ice cream scoops of each flavor sold are thrown away in an hour?

12. In one hour a car can make 600 buttons or 720 buttons. At 3 o'clock in the afternoon the car starts working. Makes 900 buttons and then changes to button production. How many buttons will the machine make by 8 p.m.?

11. The length of the ladder, measured in the nearest cm, is 110 cm. Fill in the error interval: ____cm ≤ length <_____ cm

If f(t)= e^iwt at the interval (-π, π) determine fourier series of the f(t) ?

suppose the total cost of a certain commodity is given by 𝐶(𝑥) = 1/10 𝑥^2 +

       6𝑥 + 50 dollars with selling price 𝑝(𝑥) = 70 − ' x/ 2 dollars per item.

 a) What is the actual cost of producing the 40th unit?

b) Use marginal cost to estimate the cost of producing the 40th unit.

c) What is the actual revenue derived from the sale of the 25th unit.

d) Use the marginal revenue to estimate the revenue derived from the sale of the 25th unit.

True and False with explanation

1.Total 5³ simple random samples of size 3 can be drawn without replacement from a 

population of size 5. 

2.f(x)=x+(1/x ) 0<x<=1

3.The best measure of tendency for the data 10,8,6,4,2 98, ,100 is its mean. 

4.|axb| is max when a nad b are parallel.