Consider the following information for an item for which you…

Consider the following information for an item for which you must develop an inventory policy.  Annual demand:                         4000 units                                  Order cost:                                  $50 per order                            Per unit holding cost / year:      25% of unit purchase price    Per unit purchase cost:              $10.00 if order quantity < 1000 units                                                       $ 9.50 if 1000  5000 units If the best answer was 1000 for this problem, which of the following would be the lowest total cost?

For the next two questions, suppose you had the following ou…

For the next two questions, suppose you had the following output from LINGO for some linear program.    Variable            Value      Reduced Cost         X1         6.000000          0.400000         X2         0.000000          0.780000         X3         9.000000          0.120000         X4         0.000000          0.000000       Row    Slack or Surplus     Dual Price         1          0.000000          1.000000         2          0.000000          0.000000         3          2.000000          1.250000         4          1.000000          0.900000         5          0.000000          0.000000 Which constraints are binding?

The force on an electric charge in an electric field is F =…

The force on an electric charge in an electric field is F = qE where F is the force, q is the electric charge, and E is the electric field.  Determine the speed of a proton (charge = 1.6×10-19 C, mass = 1.67×10-27 kg) after it has been accelerated, from rest, a distance of 0.25 m though an electric field of 2.0×106 N/C.