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- Analysis of daily output of a factory shows that, on average, the number of units per hour y produced after t hours of production is y = 44t + 0.5t2 − t3, 0 ≤ t ≤ 6. (a) Find the critical values of this function. (Assume −∞ < t < ∞. Enter your answers as a comma-separated list.) t = (b) Which critical values make sense in this particular problem? (Enter your answers as a comma-separated list.) t = (c) For which values of t, for 0 ≤ t ≤ 6, is y increasing? (Enter your answer using interval notation.)In the formula ke >= (D1/P0) + g, what does (D1/P0) represent?Explain the relationship between these two formulas: Y = C + I + G + EX – IM S = (Y – T – C) + (T – G)
- The relationships between some economic variables w, y, and z and another economic variable, x, are shown in the graph above. Notice that the horizontal axis is labeled “x” since they are all functions of x but the vertical axis is not labeled. 1-1 Does the vertical axis need a label in order for you to be able to understand the graph?1-2What value of x minimizes w?7. 3. Let u(x1, x2) be a regular definite bend-down function (DKAB-RSQC). If μ(x1,x2) = ψ(u(x1,x2)) and dψ/du>0, prove that μ(x1,x2) is also a regular definite downward bending function using the appropriate determinant conditions.A rental car company has a special deal on one of the available rentals. Let C be the cost, in dollars, of the rental car as a function of the distance d, in miles, it is driven in one day. A. What would the value C(75) represent in this context? B. Is function Cincreasing or decreasing? What are the units of the slope in this situation? C. Identify any maximum or minimum values of the function. What do they represent in this situation? State any assumptions that you make. D. Would the graph of C have any intercepts? What would they represent in this situation? E. Write a rule for C(d), and sketch a graph of the function.
- Explain the economic meaning of the ? matrix and ? vectorHow do I graph this? My equilibrium I'm getting P=14 but when I plug that into the equations I'm getting Qs= 21 and Qd= 7.Q5. Make a hypothetical data table and try to make interrelationships between AC, MC and AVC for ten observations. Keep in mind the trend of certain variables. Support Your answer with the help of correct graphs and their respective interpretations like Q TFC TVC TC ATC AVC AFC MC 1 2 3 4 And So on
- . what is a Function? Discuss the following concepts of functions with the help of an economic example : 4) Exponential function 5) Logarithmic Function. what is a Function? Discuss the following concepts of functions with the help of an economic example : 1) Decreasing Function 2) Implicit Function 3) Multi-valued Function 4) Exponential function 5) Logarithmic FunctionWhat is wrong with this graph? a. It gives no information about the units for the variables. b. it uses different scale on the two axes c. it has no data d. it doesn't label variable on the two axes
