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Problem 3 - Cobb-Douglas utility function Alice enjoys watching DVDs (denoted as x) and listening to her favorite CDs (denoted as y). Her utility function is given by: $U(x,y) = x^3y$ 1. Find Alice's marginal rate of substitution (MRS) for an arbitrary bundle (x,y). [You may find it helpful to take the logarithm of the utility function first.] 2. Plot Alice's indifference curve that passes through the bundle (1, 1). Determine the MRS for this bundle and represent it on the graph. At the point (1,1), which good does she value more locally: DVDs or CDs? 3. Given that the price of a DVD is $40 and the price of a CD is $20, with Alice's income of $800, write down the two conditions that ensure the optimality of her choice. Illustrate these conditions on the graph. 4. Find Alice's optimal bundle analytically. Is this bundle an interior solution?

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Buffalo Snow Blowers Inc. is using a p-chart to monitor the proportion of defective units in their production process. Over the last month, they would randomly inspect samples of 1000 units and found that on average, 50 units per sample were defective. Calculate the Upper Control Limit (UCL) and Lower Control Limit (LCL) for the p-chart using a Z-score of 3.

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Explain how fiscal policy can impact on the 3 main objectives of macro-economic policy?

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2 When do mammary glands primarily develop within the breasts? 5 Multiple Choice points During infancy During pregnancy ◻ At birth ◻ During the last weeks of fetal development ◻ During puberty 2 When do mammary glands primarily develop within the breasts? Multiple Choice 5 points During infancy During pregnancy At birth During the last weeks of fetal development During puberty

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Find all values a where the function is discontinuous. For each value of x, give the limit of the function as x approaches a. Be sure to note when the function is f(x) = (4 + x)/(x(x - 3)).

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Problem 5: Find the intervals where the following cubic cost function, defined for x>=0, is convex and where it is concave. Find also the unique inflection point. C(x)=ax^(3)+bx^(2)+cx+d,a>0,b<0,c>0,d>0 Problem 5: Find the intervals where the following cubic cost function,defined for > 0 is convex and where it is concave. Find also the unique inflection point. C(x) =ax3+bx2+cx+d,a>0, 0>9 c>0, d>O

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All of the following are implications of the definition of communication provided in your book EXCEPT: It is important to identify communication strategies that work in every situation. People must try to understand each other's expectations. How effective communication is depends on circumstances and goals. Our expectations reflect our personal experiences, emotions, and cultural beliefs.

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1. I am interested in knowing how best to treat depression. I want to measure the impact of different treatments on depressive symptoms. I assigned 30 individuals diagnosed with major depressive disorder into 3 separate groups: 1) no treatment 2) 10mg of a common antidepressant, and 3) an exercise regimen. The DV is the number of depressive symptoms one week after treatment. Using the following data, run a between-subjects ANOVA at alpha = 0.05 to determine whether type of drug has an effect on symptoms. Control/No Treatment 10mg Antidepressant Exercise 6 3 0 10 4 2 5 2 2 10 4 3 7 5 1 9 5 1 7 4 3 9 3 0 9 5 2 6 2 1 a. What is the null hypothesis? b. What is the alternative hypothesis? c. What is the critical F value?

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Text: An atomic orbital represents: …………………” Which of the following completes the sentence? 1. Repulsion of all electrons among themselves 2. Electron density region for a covalent bond 3. Shape of atom 4. The region around the nucleus of the atom with a high probability of electrons 5. The fixed path that the electron follows around the atomic nucleus

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3 attempts left Check my work Enter your answer in the provided box. From the data below, calculate the total heat (in J) needed to convert 20.00 g of ice at -4.75°C to liquid water at 0.200°C: m.p. at 1 atm: 0.0°C $\Delta H^\circ_{fus}$: 6.02 kJ/mol $C_{liquid}$: 4.184 J/g-°C $C_{solid}$: 2.09 J/g-°C

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erik l.