Maximize utility(U)=X1^O.5X2^O.5 subject to P1X1+P2X2=M work out
(i) the optimal value of X1
(ii) the optimal value of X2
(iii)what is total utility
(iv)is the consumer maximizing utility
(v) interpret labda

You are evaluating two different silicon wafer milling machines. the techron i costs $285,000, has a three-year life, and has pretax operating costs of $78,000 per year. the techron ii costs $495,000, has a five-year life, and has pretax operating costs of $45,000 per year. for both milling machines, use straight-line depreciation to zero over the project’s life and assume a salvage value of $55,000. if your tax rate is 24 percent and your discount rate is 11 percent, compute the eac for both machines.

Suppose that a firm is considering moving from a batch process to an assembly-line process to better meet evolving market needs. what concerns might the following functions have about this proposed process change: marketing, finance, human resources, accounting, and information systems?

Suppose there are three types of consumers who attend concerts at your university’s performing arts center: students, staff, and faculty. each of these groups has a different willingness to pay for tickets; within each group, willingness to pay is identical. there is a fixed cost of $1,000 to put on a concert, but there are essentially no variable costs. for each concert: i. there are 140 students willing to pay $20. (ii) there are 200 staff members willing to pay $35. (iii) there are 100 faculty members willing to pay $50. a) if the performing arts center can charge only one price, what price should it charge? what are profits at this price? b) if the performing arts center can price discriminate and charge two prices, one for students and another for faculty/staff, what are its profits? c) if the performing arts center can perfectly price discriminate and charge students, staff, and faculty three separate prices, what are its profits?