given three vectors V1=-3i+3j+2k ,V2= -2i-4j+2k and V3=2i+3j+k. Find a) V1.(V2+V3) , b) V1.(V2×V3) , c) v1×(V2+V3)​

Yard tools manufactures lawnmowers, weed-trimmers, and chainsaws. its sales mix and unit contribution margin are as follows. sales mix unit contribution margin lawnmowers 20 % $30 weed-trimmers 50 % $20 chainsaws 30 % $40 yard tools has fixed costs of $4,200,000. compute the number of units of each product that yard tools must sell in order to break even under this product mix.

Suppose the price of a complement to lcd televisions rises. what effect will this have on the market equilibrium for lcd tvs?

Budget in this final week, you will develop a proposed budget of $150,000 for the first year of the program and complete the final concept paper for the proposed program due for senior management review. the budget should identify the program's anticipated expenses for the year ahead. budget line items should be consistent with the proposed program and staffing plan. using the readings for the week, the south university online library, and the internet, complete the following tasks: create a proposed budget of $150,000 for the first year of the proposed program including the cost for personnel, supplies, education materials, marketing costs, and so on in a microsoft excel spreadsheet. you may transfer your budget to your report. justify the cost for each item of the proposed budget in a budget narrative.