On 1/1/2010, Jason and Hillary made an investment of X. Jason invested X into a 12-year annuity-immediate with an annual payment of 5,000 each at an effective interest rate of 7%. Hillary invested X in an investment fund earning an annual effective interest rate of 6%. On 1/1/2013, Hillary used the accumulated value of her account to buy a 16-year annuity-due with annual payments of Z earning an effective interest rate of 8%. Calculate Z.

At a student café, there are equal numbers of two types of customers with the following values. the café owner cannot distinguish between the two types of students because many students without early classes arrive early anyway (i. e., she cannot price-discriminate). students with early classes students without early classes coffee 70 60 banana 51 101 the marginal cost of coffee is 10 and the marginal cost of a banana is 40. the café owner is considering three pricing strategies: 1. mixed bundling: price bundle of coffee and a banana for 161, or just a coffee for 70. 2. price separately: offer coffee at 60, price a banana at 101. 3. bundle only: coffee and a banana for 121. do not offer goods separately. assume that if the price of an item or bundle is no more than exactly equal to a student's willingness to pay, then the student will purchase the item or bundle. for simplicity, assume there is just one student with an early class, and one student without an early class. price strategy revenue from pricing strategy cost from pricing strategy profit from pricing strategy 1. mixed bundling $ $ $ 2. price separately $ $ $ 3. bundle only $ $ $ pricing strategy yields the highest profit for the café owner.

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?

Ancho corp. is an automobile company whose core competency lies in manufacturing petrol- and diesel- based cars. the company realizes that more of its potential customers are switching to electric cars. the r& d department of the company acquires competencies in developing electric cars and launches its first hybrid car, which uses both gas and electricity. in this scenario, ancho is primarilya. leveraging new core competencies to improve current market position. b. redeploying existing core competencies to compete in future markets. c. unlearning existing core competencies to create and compete in markets of the future. d. building new core competencies to protect and extend current market position