U(x₁,x₂)=1/4㏑(x₁)+3/4㏑(x₂) a) What kind of preferences are these (Cobb-Douglas, quasi-linear, perfect substitutes or perfect complements)?
b) Determine optimal choice for generic prices and income.
c) Determine optimal choice when prices are P₁=3, and P₂=2 and income m =40
d) The price of good 1 decreases to p₁ = 2. Compute the optimal bundle, and then decompose the variation in the demand of good 1 in income and substitution effect according to the Slusky’s method.

Jose recently died with a probate estate of $900,000. he was predeceased by his wife, guadalupe, and his daughter, lucy. he has two surviving children, pete and fred. jose was also survived by eight grandchildren, pete’s three children, naomi, daniel, nick; fred’s three children, heather, chris and steve; and lucy’s two children, david and rachel. jose’s will states the following “i leave everything to my three children. if any of my children shall predecease me then i leave their share to their heirs, per stirpes.” which of the following statements is correct? (a) under jose’s will rachel will receive $150,000. (b) under jose’s will chris will receive $150,000. (c) under jose’s will nick will receive $100,000. (d) under jose’s will pete will receive $200,000.

In a perfectly competitive market, the long-run market supply curve tends to be horizontal or nearly so. what is another way to state this fact? (a) market supply is much more elastic in the long run than the short run. (b) in the long run, average total cost is minimized. (c) in the long run, price equals marginal cost. (d) market supply is much less elastic in the long run than the short run.

Which of the following statements is true of the balanced-scorecard? a. it is a more or less a one-dimensional metric of measuring competitive advantages of a firm. b. it is one of the traditional approaches of measuring firm performance. c. its primary focus is to base a firm's strategic goals entirely on external performance dimensions. d. it attempts to provide a holistic perspective on firm performance.