Tomato and Mozzarella

I like the salad and a wine.

	amount per Mozzarella 100g	amount per a tomato
Energy	256kcal	23kcal
protein	18.0g
fat	20.0g
sugar	1.1g
sodium	70mg
calcium	301mg
(salt)	0.18g

Mushroom and Radish

Beer and the salad of mushroom and radish are also my favorite.

	amount per Nagano Usujio Nametake 30%-salt-off 100g	amount per radish 1/8 pieces
Energy	83kcal	36kcal
Protein	3.3g
Fat	0.2g
Sugar	16.9g
Sodium	1.1g
Calcium
(Salt)	2.8g

Quiz: Which salad do I eat today?

I can make two kind of dishes

Tomato and Mozzarella and
Mushroom and Radish.

I get 10 degree of satisfaction if I eat tomato and mozzarella while I get 8 degree of satisfaction if I eat mushroom and radish. I also have to prevent myself from growing fat and being high blood pressure by restricting the energy and the salt of the relish to 100kcal and 0.5g per one day respectively. In order to obtain the maximum degree of satisfaction, how many times per one week can I take each of the dishes?

	Tomato and Mozzarella	Mushroom and Radish	upper bound / week
Energy/dish	279kcal	119kcal	700kcal
Salt/dish	0.18g	2.8g	3.5g
degree of satisfaction	10	8

Let x₁ and x₂ be the times I can take tomato and mozzarella and mushroom and radish per one week respectively. Then, the problem will be formulated as:

maximize	z	=	10x₁	+8x₂
subject to			279x₁	+119x₂	<=	700
			0.18x₁	+2.8x₂	<=	3.5
			x₁>=0,	x₂>=0

By using the simplex algorithm:

we obtain an optimal solution z=29.17 when x₁=2.03, x₂=1.12. In other words, I can obtain the maximum degree of satisfaction 29.27 when I take about two dishes of tomato and mozzarella per week and about one dish of mushroom and radish per week. Other days of the week are the Sabbath of my liver.

Fri Aug 9 13:08:26 JST 2002