Gaermont Furniture is a chain of stores dedicated to the manufacture of fine furniture. In particular, Gaermont is dedicated to the manufacture of bedrooms, living rooms and dining rooms. The items that Gaermont considers offering to its customers over the next year are:

Rooms Dining Room Bedroom

Italy Living Room Rome Dining Room Azucena Bedroom

France Living Room Paris Dining Room Jazmin Bedroom

Morocco Living Room Oxford Dining Room Lirio Bedroom

Libya Living Room El Cairo Dining Room Clavell Bedroom

Egypt Living Room Beijing Dining Room

All types of furniture basically use cedar, walnut, oak and mahogany, in addition to some types of chipboard. Due to the quality of the woods they handle, the supply of this type of material is limited.

On the other hand, the requirements (in working hours) in the carpentry, upholstery and painting departments are presented in the following table (Table 1):

Product	Carpentry (hrs)	Upholstery (hrs)	Painting (hrs)	Demand	Max Production	Max Production per type of Room	Extra Cost	Sale Price
Italia Living Room	10	16	2	500	1500	5000	$900	$13,900
France Living Room	7	15	4	500	2000		$1,200	$16,250
Morocco Living Room	8	12	4	500	1500		$1,400	$15,400
Libya Living Room	12	10	5	500	1500		$800	$15,500
Egypt Living Room	10	14	3	500	1500		$1,000	$16,500
Rome Dining Room	8	8	6	400	1100	4500	$500	$20,700
Paris Dining Room	12	9	4	400	1100		$600	$21,200
Oxford Dining Room	9	6	8	400	1100		$700	$22,600
El Cairo Dining Room	10	8	10	400	1100		$700	$24,700
Beijing Dining Room	12	10	9	400	700		$800	$28,900
Azucena Bedroom	15	0	12	300	1000	2500	$300	$28,000
Jazmin Bedroom	18	0	15	300	1000		$350	$28,850
Lirio Bedroom	12	0	12	300	1000		$250	$28,500
Clavell Bedroom	12	0	10	300	1000		$300	$24,500
Hour Wage	$60	$50	$45
Available people (per month)	45	35	32
Available hours per month (hrs)	200	200	200

Due to the different designs that each of these types of furniture have, it is sometimes more convenient to use a particular type of wood. In this way, the planks of the different woods used by these products, as well as the maximum availability of their supplier are presented in the following table (Table 2):

Product	Cedar (plank)	Walnut (plank)	Oak (plank)	Mahogany (plank)
Italia Living Room	2	1	0	0
France Living Room	1	1	2	0
Morocco Living Room	0	3	0	1
Libya Living Room	1	0	1	2
Egypt Living Room	0	2	1	1
Rome Dining Room	4	0	2	0
Paris Dining Room	0	1	1	4
Oxford Dining Room	0	0	2	5
El Cairo Dining Room	3	2	0	2
Beijing Dining Room	2	0	1	4
Azucena Bedroom	3	3	2	0
Jazmin Bedroom	4	4	0	0
Lirio Bedroom	0	0	3	5
Clavell Bedroom	0	3	0	4
Annual availability (planks)	15 000	12 000	12 000	16 000
Price per plank	$1,800	$1,400	$1,500	$2,000

The wooden planks are supplied by the company Beautiful Wood. The price of a cedar plank is $ 1800, the price of a walnut plank is $ 1400, the price of an oak plank is $ 1500, and the price of a mahogany plank is $ 2000.

An important clarification is that the wooden planks can be requested by pieces, that is, the company could request only those pieces that it considers necessary. Except for walnut, where it is necessary to buy all the pieces from the beginning of the year because this is an export material. So, the 12,000 units of walnut have already been requested.

If a walnut plank is not used during the year, then at the end of the year the plank can be sold for $800.