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excise is to provide practice using LINGO or Excel Solver. Find the

values of X and Y that minimize the function

Min X2 - 4X + Y2 + 8Y + 20

Do not assume nonnegativity of the X and Y variables. Recall that by default LINGO assumes

nonnegative variables, In order to allow the variables to take on negative values you can add

@FREE(X); @FREE(Y):

Alternatively, if you want LINGO to allow for negative values by default, in the LINGO

menu select Options and then click General Solver, and then uncheck the Variables

assumed nonnegative tab. To allow for negative values in Excel Solver, make sure that

the Make Unconstrained Variables Non-Negative box is not checked in the Solver

Parameters dialog box.

2. Consider the problem

ELF test

Min 2X2 - 20X + 2XY + Y2 - 14Y +58

s.t. X + 4) = 8

tisord # J# (s.

a. Find the minimum solution to this problem.

b. If the right-hand side of the constraint is increased from 8 to 9, how much do you

expect the objective function to change?

c. Resolve the problem with a new right-hand side of 9. How does the actual change

compare with your estimate?

3. Jim's Camera shop sells two high-end cameras, the Sky Eagle and Horizon. The demand

for these two cameras are as follows: Ds = demand for the Sky Eagle, Ps is the selling

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6:28 PM

10/2/2019