Software Search, Categories and Specials

Linear Programming Production (profit maximization) problem

Microsoft Excel - From Beginner to Expert in 6 Hours/ EXCEL DASHBOARD REPORTS

linear programming GIPALS Start

A company can produce four different types of devices identified as A, B, C and D. The minimum amounts of devices are Amin, Bmin, Cmin and Dmin. The maximum amounts are defined as Amax, Bmax, Cmax and Dmax. The prices of the devices are Ac, Bc, Cc and Dc:

Device	Min amount	Max amount	Price, $
A	650	1000	4.5
B	1700	2200	5.5
C	1100	1400	6.5
D	880	1300	7.0

There are three machines available to produce the devices: M1, M2 and M3. Each machine can operate from Tmin to Tmax minutes:

Machine \ Time	Tmin, min	Tmax, min
M1	55000	65000
M2	60000	69000
M3	62000	68000

The time required to produce each devices on each machine (T) are given in the table (in minutes):

Machine \ Device	A	B	C	D
M1	10	12	8	18
M2	14	11	10	17
M3	13	10	11	20

So, time to produce device A on machine M1 is denote as T_A_M1 and so on. The amounts of devices are required to be found that maximize the profit. The decision variables are amount of devices of each type: Ax, Bx, Cx and Dx.

The objective function is sum of multiplications of devices amounts and their costs:
F = Ax * Ac + Bx * Bc + Cx * Cc + Dx * Dc

There are several constraints:
T_A_M1 * Ax + T_B_M1 * Bx + T_C_M1 * Cx + T_D_M1 * Dx >= Tmin for M1 T_A_M1 * Ax + T_B_M1 * Bx + T_C_M1 * Cx + T_D_M1 * Dx <= Tmax for M1 and etc. The problem has been solved successfully with the following plan:

Device	Amount
A	650
B	2200
C	1400
D	1107

The Total Profit is $31877.5

linear programming GIPALS Start

Linear programming examples

There are several examples of linear programming intended to make the users of GIPALS familiar with it. These examples are included in GIPALS installation and can be found in ..\GIPALS\Examples folder.

Transport problem

Production (profit maximization) problem

Dietary optimization

Alloy mixture optimization

GIPALS Linear Programming $197.95 - 15000 Constraints & Variables | $297.00 - Unlimited Number of Constraints & Variables

Special ! Free Choice of Complete Excel Training Course or Excel Add-ins Collection on all purchases totaling over $70.00. ALL purchases totaling over $150.00 gets you BOTH! Purchases MUST be made via this site. Send payment proof to [email protected] 31 days after purchase date.

Instant Download and Money Back Guarantee on Most Software

Excel Trader Package Technical Analysis in Excel With $139.00 of FREE software!

Microsoft ® and Microsoft Excel ® are registered trademarks of Microsoft Corporation. OzGrid is in no way associated with Microsoft