Write a script that uses the function below to find root brackets for ?(?) = cos(e^x) + sin(?), between ? = 0 ??? ? = ? with ns=100. Plot the output by first plotting the function and then plotting ‘*’ at each bracket point (on the x-axis). You may either give the plot() function two sets of inputs, or you can use hold on ... hold off to add plots to your figure.

function xb = incsearchv(func,xmin,xmax,ns)

6)  (10pts) Using the appropriate control chart, determine two-sigma control limits for each case:

1. An inspector found an average of 3.9 scratches the exterior paint of each of the

Automobiles being prepared for shipment dealer,

2. Before shipping lawn mowers to dealers an inspecto attempt to start each mower and

Notes any that do not start on the first try. The lot size is 100 mowers,  and an  average of 4 did not start (4 percent

Python

Write a program that loops, prompting the user for their full name, their exam result (an integer between 1 and 100), and then writes that data out to file called ‘customers.txt’. The program should check inputs for validity according to the following rules:

• First and last names must use only alphabetical characters. No spaces, hyphens or special characters. Names must be less than 20 characters long.
• Exam result (an integer between 1 and 100 inclusive)

The file should record each customers information on a single line and the output file should have the following appearance.

Nurke Fred 58

Cranium Richard 97

Write a second program that opens the ‘customers.txt’ file for reading and then reads each record, splitting it into its component fields and checking each field for validity.

The rules for validity are as in your first program, with the addition of a rule that specifies that each record must contain exactly 3 fields.

Your program should print out each valid record it reads.

The program should be able to raise an exception on invalid input, print out an error message with the line and what the error was, and continue running properly on the next line(s).

Mary Poppins, a friend of yours, has recently set up a small business making curtains. She has supplied you with the following figures, and has asked your advice on a number of issues:

The above costs are based on producing and selling 1 200 pairs of curtains per month at a selling price of R15 each.

80% of labour costs are fixed, as are 75% of production overheads, 60% of selling and distribution overheads, and 100% of administration overheads. All other costs vary directly with output.

Mary wants to know:

1. How much profit she will make at the proposed production level and selling price?(3)

b)      How many pairs of curtains she needs to sell to break even at this price?     (3)

c)      If sales are slower than expected, by how much can she reduce her selling price in order to maintain the budgeted level of sales without making a loss?                 (4)

d)     Mary estimates her maximum capacity as 1 500 curtains: would it be worthwhile to drop the price in order to increase sales to capacity? If so, by how much?        (5)

e)    If Mary bought another machine, she could increase her production capacity to 2 500 curtains. Repayments on the machine would be R700 per month, and she would need an extra member of staff, costing R1 000 per month. She would also have to pay a bonus to all staff of 50 cents per pair of curtains, over and above their current wages, and variable production overheads would increase by 30 cents per pair of curtains.

         In order to increase sales, she would have to reduce the price: she estimates demand at different price levels to be as follows:

            What would be the optimum price?                                                                      (10)

Required:

Advise Mary on each of the above points, showing your calculations, explaining both the financial and non-financial implications of each where appropriate.

1. Table 1 below shows the schedule of demand and supply in the Market for Michigan wine. Use this table to answer the following questions.

Table 1 - Demand & Supply in the Market for Michigan Wine

1. Explain why a price of $40 cannot be an equilibrium price in this market.
2. Draw a figure (call it Figure 1) representing the Market for Michigan wine (i.e. demand and supply curves). Be sure to fully label the graph (axes, titles, curves, etc.). You can assume that demand and supply are continuous between points.
   1. On Figure 1, identify the market equilibrium price of Michigan wine (label it as Pe ) and the market equilibrium quantity of wine sold (label it as Qe ).
   2. Calculate the value of Consumer Surplus (CS), Producer Surplus (PS) and Total Surplus (TS) in the market for Michigan wine (these should be dollar values). Indicate the areas on Figure 1 that represent these and label them CS¹, PS¹ and TS¹ respectively.
3. Suppose the Michigan state government decides that they want to attract more tourists to the state and that currently the price of wine is too high. So, they impose a price ceiling of $10 in the market for Michigan wine to make it cheaper for everyone. Draw a new and separate figure (call it Figure 2) representing the Market for Michigan wine.
   1. On Figure 2, identify the price wine will sell at (label it as P2 ) and the quantity of wine that will be sold (label it as Q2 ) after the price ceiling.
   2. Calculate the value of Consumer Surplus, Producer Surplus and Total Surplus and any Deadweight Loss (DWL) there may be. Indicate the areas on Figure 2 that represent these and label them CS², PS² and TS² and DWL²respectively.

4. Use your results from parts (B) and (C) to determine whether consumers and producers are made worse off, better off or the same under the price ceiling. Does this policy help consumers overall as it was intended? Are any individual consumers made worse off or better off? Is this a successful policy to attract more tourists to Michigan? How might producers respond in ways that the state government might not have foreseen?

Mary Poppins, a friend of yours, has recently set up a small business making curtains. She has supplied you with the following figures, and has asked your advice on a number of issues:

The above costs are based on producing and selling 1 200 pairs of curtains per month at a selling price of R15 each.

80% of labour costs are fixed, as are 75% of production overheads, 60% of selling and distribution overheads, and 100% of administration overheads. All other costs vary directly with output.

Mary wants to know:

1. How much profit she will make at the proposed production level and selling price?(3)

b)      How many pairs of curtains she needs to sell to break even at this price?     (3)

c)      If sales are slower than expected, by how much can she reduce her selling price in order to maintain the budgeted level of sales without making a loss?                 (4)

d)     Mary estimates her maximum capacity as 1 500 curtains: would it be worthwhile to drop the price in order to increase sales to capacity? If so, by how much?        (5)

e)    If Mary bought another machine, she could increase her production capacity to 2 500 curtains. Repayments on the machine would be R700 per month, and she would need an extra member of staff, costing R1 000 per month. She would also have to pay a bonus to all staff of 50 cents per pair of curtains, over and above their current wages, and variable production overheads would increase by 30 cents per pair of curtains.

         In order to increase sales, she would have to reduce the price: she estimates demand at different price levels to be as follows:

            What would be the optimum price?                                                                      (10)

Required:

Advise Mary on each of the above points, showing your calculations, explaining both the financial and non-financial implications of each where appropriate.

Mary Poppins, a friend of yours, has recently set up a small business making curtains. She has supplied you with the following figures, and has asked your advice on a number of issues:

The above costs are based on producing and selling 1 200 pairs of curtains per month at a selling price of R15 each.

80% of labour costs are fixed, as are 75% of production overheads, 60% of selling and distribution overheads, and 100% of administration overheads. All other costs vary directly with output.

Mary wants to know:

1. How much profit she will make at the proposed production level and selling price?(3)

b)      How many pairs of curtains she needs to sell to break even at this price?     (3)

c)      If sales are slower than expected, by how much can she reduce her selling price in order to maintain the budgeted level of sales without making a loss?               (4)

d)     Mary estimates her maximum capacity as 1 500 curtains: would it be worthwhile to drop the price in order to increase sales to capacity? If so, by how much?      (5)

e)    If Mary bought another machine, she could increase her production capacity to 2 500 curtains. Repayments on the machine would be R700 per month, and she would need an extra member of staff, costing R1 000 per month. She would also have to pay a bonus to all staff of 50 cents per pair of curtains, over and above their current wages, and variable production overheads would increase by 30 cents per pair of curtains.

         In order to increase sales, she would have to reduce the price: she estimates demand at different price levels to be as follows:

            What would be the optimum price?                                                                      (10)

Required:

Advise Mary on each of the above points, showing your calculations, explaining both the financial and non-financial implications of each where appropriate.

Mary Poppins, a friend of yours, has recently set up a small business making curtains. She has supplied you with the following figures, and has asked your advice on a number of issues:

The above costs are based on producing and selling 1 200 pairs of curtains per month at a selling price of R15 each.

80% of labour costs are fixed, as are 75% of production overheads, 60% of selling and distribution overheads, and 100% of administration overheads. All other costs vary directly with output.

Mary wants to know:

1. How much profit she will make at the proposed production level and selling price?(3)

b)      How many pairs of curtains she needs to sell to break even at this price?     (3)

c)      If sales are slower than expected, by how much can she reduce her selling price in order to maintain the budgeted level of sales without making a loss?                 (4)

d)     Mary estimates her maximum capacity as 1 500 curtains: would it be worthwhile to drop the price in order to increase sales to capacity? If so, by how much?        (5)

e)    If Mary bought another machine, she could increase her production capacity to 2 500 curtains. Repayments on the machine would be R700 per month, and she would need an extra member of staff, costing R1 000 per month. She would also have to pay a bonus to all staff of 50 cents per pair of curtains, over and above their current wages, and variable production overheads would increase by 30 cents per pair of curtains.

         In order to increase sales, she would have to reduce the price: she estimates demand at different price levels to be as follows:

            What would be the optimum price?                                                                      (10)

Required:

Advise Mary on each of the above points, showing your calculations, explaining both the financial and non-financial implications of each where appropriate.