Recall the locational indifference condition in the model of housing prices with commuting costs: ∆p·h(x)+∆x·t=0

a) if h(x) = 750, have we modeled consumers as being able to substitute? how do you know?

b) derive the slope of the bid-rent curve when h(x) = 750

c) now suppose h(x) = 650+(x^2) for x≥0. graph this equation and provide an interpretation for h(0) = 650 (hint: think about what x represents).

d) rederive the slope of the bid-rent curve using h(x)=650+(x^2)

e) find the distance x at which the two bid rent curves from part b and d have equal slope. (hint: set h(·) from part b equal to part d and solve).

Magic realm, inc., has developed a new fantasy board game. the company sold 15,000 games last year at a selling price of $20 per game. fixed expenses associated with the game total $182,000 per year, and variable expenses are $6 per game. production of the game is entrusted to a printing contractor. variable expenses consist mostly of payments to this contractor.required: 1-a. prepare a contribution format income statement for the game last year.1-b. compute the degree of operating leverage.2. management is confident that the company can sell 58,880 games next year (an increase of 12,880 games, or 28%, over last year). given this assumption: a. what is the expected percentage increase in net operating income for next year? b. what is the expected amount of net operating income for next year? (do not prepare an income statement; use the degree of operating leverage to compute your answer.)

Amanager of a store that sells and installs spas wants to prepare a forecast for january and june of next year. her forecasts are a combination of trend and seasonality. she uses the following equation to estimate the trend component of monthly demand: ft = 30+5t, where t = 1 in january of this year. seasonal relatives are 0.60 for january and 1.50 for june. what demands should she predict for january and june of next year

Tony prince is the project manager for the recreation and wellness intranet project. team members include you, a programmer/analyst and aspiring project manager; patrick, a network specialist; nancy, a business analyst; and bonnie, another programmer/analyst. other people are supporting the project from other departments, including yusaff from human resources and cassandra from finance. assume that these are the only people who can be assigned and charged to work on project activities. recall that your schedule and cost goals are to complete the project in six months for under $200,000.task 2identify at least eight milestones for the recreation and wellness intranet project. write a short paper describing each milestone using the smart criteria. discuss how determining these milestones might add activities or tasks to the gantt chart. remember that milestones normally have no duration, so you must have tasks that will lead to completing the milestone.