Why would a judge or justice write a concurring or dissenting opinion, given that these opinions will not affect the outcome of the case at hand, which has been decided by the majority vote

For each example identify the most appropriate ctso

The smelting department of kiner company has the following production and cost data for november. production: beginning work in process 3,700 units that are 100% complete as to materials and 23% complete as to conversion costs; units transferred out 10,500 units; and ending work in process 8,100 units that are 100% complete as to materials and 41% complete as to conversion costs. compute the equivalent units of production for (a) materials and (b) conversion costs for the month of november.

You are the manager of a large crude-oil refinery. as part of the refining process, a certain heat exchanger (operated at high temperatures and with abrasive material flowing through it) must be replaced every year. the replacement and downtime cost in the first year is $165 comma 000. this cost is expected to increase due to inflation at a rate of 7% per year for six years (i.e. until the eoy 7), at which time this particular heat exchanger will no longer be needed. if the company's cost of capital is 15% per year, how much could you afford to spend for a higher quality heat exchanger so that these annual replacement and downtime costs could be eliminated?