1. Suppose the amount of premium leather decreases from 180 to 150 a. Does the shadow price change? Why or why not? b. If possible, determine the change in value of the objective function in this situation. c. Does the optimal solution change? Explain why or why not.

Miller mfg. is analyzing a proposed project. the company expects to sell 14,300 units, plus or minus 3 percent. the expected variable cost per unit is $15 and the expected fixed cost is $35,000. the fixed and variable cost estimates are considered accurate within a plus or minus 3 percent range. the depreciation expense is $32,000. the tax rate is 34 percent. the sale price is estimated at $19 a unit, give or take 3 percent. what is the net income under the worst case scenario?

Blue computers, a major pc manufacturer in the united states, currently has plants in kentucky and pennsylvania. the kentucky plant has a capacity of 1 million units a year and the pennsylvania plant has a capacity of 1.5 million units a year. the firm divides the united states into five markets: northeast, southeast, midwest, south, and west. each pc sells for $1,000. the firm anticipates a 50 perc~nt growth in demand (in each region) this year (after which demand will stabilize) and wants to build a plant with a capacity of 1.5 million units per year to accommodate the growth. potential sites being considered are in north carolina and california. currently the firm pays federal, state, and local taxes on the income from each plant. federal taxes are 20 percent of income, and all state and local taxes are 7 percent of income in each state. north carolina has offered to reduce taxes for the next 10 years from 7 percent to 2 percent. blue computers would like to take the tax break into consideration when planning its network. consider income over the next 10 years in your analysis. assume that all costs remain unchanged over the 10 years. use a discount factor of 0.1 for your analysis. annual fixed costs, production and shipping costs per unit, and current regional demand (before the 50 percent growth) are shown in table 5-13. (a) if blue computers sets an objective of minimizing total fixed and variable costs, where should they build the new plant? how should the network be structured? (b) if blue computers sets an objective of maximizing after-tax profits, where should they build the new plant? how should the network be structured? variable production and shipping cost ($/unit) annual fixed cost northeast southeast midwest south west (million$) kentucky 185 180 175 175 200 150 pennsylvania 170 190 180 200 220 200 n. carolina 180 180 185 185 215 150 california 220 220 195 195 175 150 demand ('000 units/month) 700 400 400 300 600

Snuggables sells microwaveable heat packs online. their sales software collects customer/sales information and shares it with the customer service and sales departments. none of the customer complaints or suggestions reach the product development person, however. which step of the three-step processes for success is snuggables failing to use fully?