An analyst, having solved a linear programming problem, determined that he had 10 more units of resource q than previously believed. upon modifying his program, he observed that the optimal solution did not change, but the value of the objective function increased by $30. this means that resource's q's shadow price was: a.$1.50.b.$3.00.c.$6.00.d.$15.00e.$ 30.00.

Consider a small island country whose only industry is weaving. the following table shows information about the small economy in two different years. complete the table by calculating physical capital per worker as well as labor productivity. hint: recall that productivity is defined as the amount of goods and services a worker can produce per hour. in this problem, measure productivity as the quantity of goods per hour of labor. year physical capital labor force physical capital per worker labor hours output labor productivity (looms) (workers) (looms) (hours) (garments) (garments per hour of labor) 2024 160 40 1,800 14,400 2025 180 60 3,900 23,400

Abakery wants to determine how many trays of doughnuts it should prepare each day. demand is normal with a mean of 5 trays and standard deviation of 1 tray. if the owner wants a service level of at least 95%, how many trays should he prepare (rounded to the nearest whole tray)? assume doughnuts have no salvage value after the day is complete.

Which law would encourage more people to become homeowners but not encourage risky loans that could end in foreclosure? options: offering first time homebuyers tax-free accounts to save for down payments requiring all mortgages to be more affordable, interest-only loans outlawing home inspections and appraisals by mortgage companies limiting rent increases to less than 2% a year