Q1. Using the Lagrangian method, solve the following problem. I. e., write down the Lagrangian, the FOCs, and find (x ∗ , y∗ ) and λ ∗ . Find f(x ∗ , y∗ ). Max f(x, y) = x 1 2 y 1 2 subject to x + 2 5 y = 4.

The next dividend payment by savitz, inc., will be $2.08 per share. the dividends are anticipated to maintain a growth rate of 6 percent forever. if the stock currently sells for $42 per share, what is the required return?

Advanced enterprises reports year-end information from 2018 as follows: sales (160,250 units) $968,000 cost of goods sold 641,000 gross margin 327,000 operating expenses 263,000 operating income $64,000 advanced is developing the 2019 budget. in 2019 the company would like to increase selling prices by 14.5%, and as a result expects a decrease in sales volume of 9%. all other operating expenses are expected to remain constant. assume that cost of goods sold is a variable cost and that operating expenses are a fixed cost. should advanced increase the selling price in 2019?

Betty contracted with scooby’s skate store to deliver a pair of skates to jake for his birthday. scooby’s owner was going on a trip and delegated the delivery of the skates to brian. brian failed to make delivery.can jake sue brian for breach of contract, as he was not a party to the original contract? explain your answer. brian was not a party to the original contract. why would a court hold him responsible for failing to make delivery? if you do not think a court would hold him responsible, explain your answer. can jake sue scooby’s skates for breach of contract? explain your answer.