Please provide detailed explanation on your arrival at your answers. I cannot achieve proper answers.   For each of the following functions: identify the appropriate objective function. identify all critical points determine whether these critical points represent local maxima, local minima, saddle points, or inflection points z = 3x2-xy+2y2-4x-7y+12 (for this question, we're thinking of a firm selling two products ("good 1" and "good 2") Q1 = 14 - 0.25P1     Q2 = 24 - 0.5P2 TC = Q12+5Q1Q2+Q22  (pi) = 25x-x2-xy-2y2+30y-28

A small company produces organic cookies. When the price is $6 per dozen, the average daily sales has been 72 dozen cookies. When the price was decreased to $3 per dozen, the average daily sales increased to 110 dozen cookies. Assume that daily cookie sales is linearly related to price per dozen. Each dozen cookies has a variable cost of 87 cents to make, plus additional daily fixed costs of $84. Find a function that models the daily profit in terms of the sales x in dozens of cookies.

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CAN YOU ANSWER QUESTIONS 1 & 2 FOR ME? Suppose that you are the manager of a company that vaccinates human beings for biological diseases. Your company uses two inputs to produce vaccinations: physicians and laboratories.  However, this is a short-run analysis where physicians are variable but laboratories are fixed.  Suppose that each physician costs $500 per day (for an annual salary of about $175,000) and the daily cost for the laboratory is $1,500 (for rental cost of about $547,500 per year).  In the short run, your company has 1 laboratory.  The following table presents potential daily production levels with requisite input combinations.  Physicians Laboratories Vaccinations (Q) TC TFC TVC MC ATC AFC AVC 0 1 0 1500  1500  0  -  -  -  -  3 1 1 3000  1500  1500  1500  3000  1500  1500  5 1 2 4000  1500 2500 1000 2000 750 1250 6 1 3  4500  1500 3000 500 1500 500 1000…

Suppose that for a company manufacturing calculators, the cost, revenue, and profit equations are given by x² C = 70,000 + 30x, R=200x - A) Costs are increasing at the rate of $ (Simplify your answer.) where the production output in 1 week is x calculators. If production is increasing at a rate of 600 calculators per week when production output is 5,000 calculators. Find the rate of increase (decrease) in cost, revenue, and profit. B) Revenue is decreasing at the rate of $ (Simplify your answer.) C) Profits are (Simplify your answer.) 20 at the rate of $ P=R-C per week at this production level. per week at this production level. per week at this production level.

Given the function f(x) = ln (x+1), x>0   In applying mathematical methods to economics/business problems, we use a broad menu of functions for the purpose of accurately specifying the properties of the economic variables in question. Find an example that you can use the above function to describe certain economic or business activity.

Suppose the outputs of beauty shops and pet-grooming salons are complementary, providing one-stop shopping for personal and pet maintenance. Betty Beehive is thinking about moving her beauty shop from an isolated location to a vacant building next to Peter’s pet grooming shop.In making her decision, she makes the following assumptions: If Betty moves, she will keep all her current customers (20 people per week) and attract 25% of Peter’s current customers. Peter currently has 60 customers per week.       3. Excluding rent, Betty’s profit per beauty treatment is $10.      4.The weekly rent at the new location is $200 higher than Betty’s current rent. Question = If Betty moves her beauty shop, will her profits increase or decrease? By how much? Question =Suppose that if Betty makes the move, 50 percent of her original customerswill switch from George’s grooming salon to Peter’s. If Peter’s profit pertreatment is $8, how much would he be willing to pay Betty to make themove? Will the…

For a certain company, the cost for producing x items is 60x + 300 and the revenue for selling x items is 100x – 0.5x². - The profit that the company makes is how much it takes in (revenue) minus how much it spends (cost). In economic models, one typically assumes that a company wants to maximize its profit, or at least wants to make a profit! Part a: Set up an expression for the profit from producing and selling x items. We assume that the company sells all of the items that it produces. (Hint: it is a quadratio polynomial.) Part b: Find two values of x that will create a profit of $300. The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or x + 1; x – 1). The order of the list does not matter. To enter va, type sqrt(a). x = Part c: Is it possible for the company to make a profit of $15,000?

The market for tickets to this year’s football games consists of two groups of consumers. Let x1denote the demand for tickets by fans of one of the visiting teams, and let x2 denote the demand for tickets by home fans who enjoy the spectacle.  Let the price of the ticket be denoted by px, and suppose that everyone who purchases a ticket pays the same price. The demand functions of the two consumer groups has been determined as follows.  There are 15,000 seats available in the stadium (thus X=15).                         x1= 12 −px/2                         x2= 6− px/4             (a) What is the market demand function for football tickets, as a function of px?  (Remember that demand cannot be negative for either consumer group.)             (b)  If the school was required to sell tickets to visitors at the same price as home team Students, what would the price for tickets be?             (c) Suppose that, at the ticket price chosen by the university, the price-elasticity of demand for…

f(x1,x2) 4 2 0 -2 -4 −1 2 0 1 1 0 2 -1 X1 3-2 x2 Figure 2: Graph of the function f(x1, x2) = 2x1 = x²-x+3 Consider the following function: f(x1, x2) = 2x1 - x-x+3. - For your visual convenience, a portion of the function is depicted in Figure 2. (a) Compute the gradient vector of f. (b) Compute the Hessian matrix of f. (c) Determine all points that yield stationary values of f. (d) Use the second-order conditions to determine whether each of the stationary val- ues of f is a maximum, a minimum, or neither.