Question

Question no. 01:

A company produces a product which it sells for $55 per unit. Each unit costs the firm $23 in variable expenses, and fixed costs on an annual basis are $400,000. If x equals the number of units produced and sold during the year:
Formulate the linear total cost function
Formulate the linear total revenue function
Formulate the linear profit function
What does annual profit equal if 10,000 units are produced and sold during the year?
What level of output is required in order to earn zero profit?

Question no. 02:
A publisher has a fixed cost of $250,000 associated with the production of a college mathematics book. The contribution to profit and fixed cost from the sale of each book is $6.25.
Determine the number of books which must be sold in order to break even
What is the expected profit if 50,000 books are sold?
Question no. 03:
Part A
A leading firm requires software for its internal use. The firm wants to evaluate whether it is less costly to have its own programming staff and resources or to have programs developed by an external development firm. The cost of both options are a function of the number of lines of code. After the mathematical analysis it has been estimated that the in-house development will cost $1.75 per line of code. In addition, annual overhead costs for supporting the program will be $35000. While Software developed outside the firm costs, on average, $2.5 per line of code.
How many lines of codes per year make costs of the two options equal?
If programming needs are estimated at 35000 lines per year, what are the costs of the two options?
In part b what would be the in-house cost per line of code have to equal for the two options to be equally costly?


Part B
Because the parameters used in mathematical models are frequently estimates, actual results may differ from those projected by the aforementioned mathematical analysis. To account for some of the uncertainities which may exist in a problem, analysts often conduct sensitivity analysis. The objective is to assess how much a solution might change if there are changes in model parameters. Assume in part A that the software development costs by outside firms might actually fluctuate by ±15%.
Compute the breakeven points if the costs are 15 percent higher or lower and compare your results with the mathematical model achieved prior to the sensitivity analysis.

Question no. 04:
The supply function qs = f (p) for a product is quadratic. Three points which lie on the supply function are (60, 2750), (70, 6000) and (80, 9750).
Determine the equation for the supply function
Make any observation you can about the restricted domain of the function
Compute and interpret the p intercept.
What quantity will be supplied at a price of $75
Question no. 05:
The Canada in 2019 had five federal income tax brackets, with rates of 15%, 20.5%, 26%, 29% and 33%. If you fall into the 33% bracket, that doesn’t mean that the entirety of your taxable income will be subject to a 33% tax. Instead, 33% is your top marginal tax rate.
FEDERAL TAX BRACKETS 2018 – 2019
Tax rate (%)
$46,605 or less
15
$46,605 to $93,208
20.5
$93,208 to $144,489
26
$144,489 to $205,842
29
More than $205,842
33

Create a Mathematical Model that represents the aforementioned information to calculate the annual income tax.
How much annual income tax you will have to pay if your monthly taxable income is $ 12,000.
Question no. 06:
A leading manufacturer of video games is about to introduce four new games. The accompanying table summarizes price and cost data, Combined fixed costs equal $600,000. A marketing research study predicts that for each unit sold of Diablo, 2 units of Call of Duty: Modern Warfare, 3 units of Sekiro and 4 units of Starcraft II will be sold.


Games
Diablo
Call of Duty
Sekiro
Starcraft II
Selling Price (in dollars)
55
48
33
22
Variable cost/unit (in dollars)
22
17
12
11

How many product mix units must be sold to break even?
How does it translate into sales of individual games?​

Answer 1

Answer:

please post single question at a time.....

Step-by-step explanation:

Mark as brainlist pls.......

Answer 2

Please post maximum 3 questions at a time.

It is very long and mixed so we get confused.