An investor invests wants to invest up to $6 million in tech company stocks. The table below

describes his options.

Corporation

Type

Expected Annual Return (in $1000s)

Cost of Block (in $1000s)

Apple Bumble Cisco DTOL Esso Franlin Google

X 40 384

Y 64 432

Y 72 544

Z 96 800

X 88 560 Z 32 408 Z 60 720

Additional requirements of the investor:

(a) At least two type Z corporations should be included.

(b) No more than one type Y corporation should be included.

(c) Exactly one type X corporation should be included.

(d) If Bumble is included then Apple must also be included.

Subject to the above requirements, the investor would like to maximize expected annual returns. For- mulate the linear programming problem. Do not solve it.

Hint: Use the following variables

XA = 1 if the investor invests in Apple, 0 otherwise.

XB = 1 if the investor invests in Bumble, 0 otherwise. XC = 1 if the investor invests in Cisco, 0 otherwise.

XD = 1 if the investor invests in DTOL, 0 otherwise. XE = 1 if the investor invests in Esso, 0 otherwise.

XF = 1 if the investor invests in Franklin, 0 otherwise. XG = 1 if the investor invests in Google, 0 otherwise.