Fixed and Variable Cost Exercise Q1) A worker has set out a table of his charges: Number of hours worked 2 4 6 8 Cost (£) 20 30 a) What is the fixed cost? b) What is the variable cost? c) Find an expression for the total cost £c for working h hours. c = h + d) Work out the total cost if the worker to 150 hours to complete their work. Total cost is Q2) A worker has set out a table of his charges: Number of hours worked 1 2 3 4 Cost (£) 50 78 a) What is the fixed cost? b) What is the variable cost? c) Find an expression for the total cost £c for working h hours. c = h + d) Work out the total cost if the worker to 6 hours to complete their work. Total cost is Q3) A worker has set out a table of his charges: Number of hours worked 6 9 12 20 Cost (£) 230 320 a) What is the fixed cost? b) What is the variable cost? c) Find an expression for the total cost £c for working h hours. c = h + d) Work out the total cost if the worker to 24 hours to complete their work. Total cost is
 Tax Questions Q1) Income Tax is calculated as follows: Country A \$5,000 is tax free and the rest is taxed at 25% Country B \$0.00 is tax free and the rest is taxed at 20% Let N be the net salary and G be the gross salary. a) Form an expression for the net salary for each country (answer to 2 decimal places): Country A NA = G + Country B NB = G + b) Find the gross salary which results in the same net salary for both countries. c) What is the net salary for the gross salary found in b)? Q2) Income Tax is calculated as follows: Country A \$3,500 is tax free and the rest is taxed at 18% Country B \$1,000.00 is tax free and the rest is taxed at 14% Let N be the net salary and G be the gross salary. a) Form an expression for the net salary for each country (answer to 2 decimal places): Country A NA = G + Country B NB = G + b) Find the gross salary which results in the same net salary for both countries. c) What is the net salary for the gross salary found in b)? Q3) Income Tax is calculated as follows: Country A \$7,200 is tax free and the rest is taxed at 22% Country B \$1,500.00 is tax free and the rest is taxed at 20% Let N be the net salary and G be the gross salary. a) Form an expression for the net salary for each country (answer to 2 decimal places): Country A NA = G + Country B NB = G + b) Find the gross salary which results in the same net salary for both countries. c) What is the net salary for the gross salary found in b)?
 Monthly Charges Q1) Two mobile phone companies apply the following charges: Company 1 Fixed monthly payment of £25 Plus a variable charge of 10 pence per minute for calls. Company 2 Fixed monthly payment of £0 Plus a variable charge of 20 pence per minute for calls. Let T represent the total monthly cost and let m represent the number of minutes. a) Write down an expression for the total monthly cost for each company: Company 1 T1 = m + Company 2 T2 = m + b) Find the number of minutes for which the monthly cost is the same for both companie c) Find the total monthly cost for the number of minutes found in b) Q2) Two mobile phone companies apply the following charges: Company 1 Fixed monthly payment of £18 Plus a variable charge of 12 pence per minute for calls. Company 2 Fixed monthly payment of £0 Plus a variable charge of 14 pence per minute for calls. Let T represent the total monthly cost and let m represent the number of minutes. a) Write down an expression for the total monthly cost for each company: Company 1 T1 = m + Company 2 T2 = m + b) Find the number of minutes for which the monthly cost is the same for both companie c) Find the total monthly cost for the number of minutes found in b) Q3) Two mobile phone companies apply the following charges: Company 1 Fixed monthly payment of £30 Plus a variable charge of 8 pence per minute for calls. Company 2 Fixed monthly payment of £5 Plus a variable charge of 12 pence per minute for calls. Let T represent the total monthly cost and let m represent the number of minutes. a) Write down an expression for the total monthly cost for each company: Company 1 T1 = m + Company 2 T2 = m + b) Find the number of minutes for which the monthly cost is the same for both companie c) Find the total monthly cost for the number of minutes found in b)
 Supply and Demand Questions Q1) The supply of a certain product is given by the equatio 3 P + -2 Q = 400 where P is the market price and Q is the quantity produced. The demand of the same product is given by the equat 2 P + 3 Q = 700 [No canvas support] x int 0 0 0 0 Plot Points 0 0 Find the equilibrium price and quantity: P= Q= Q2) The supply of a certain product is given by the equatio 3 P + 3 Q = 2000 where P is the market price and Q is the quantity produced. The demand of the same product is given by the equat 6 P + -4 Q = 700 [No canvas support] 0 0 0 0 Plot Points 0 0 Find the equilibrium price and quantity: P= Q=