PT Segar Sehat produces three types of adult multivitamins: X, Y, and Z. The three types of multivitamins contain three types of vitamins, namely vitamins A, B, and C.

The vitamin content of the three types of multivitamins is presented in the following table:

types of multivitamins	Vitamin A	Vitamin B	Vitamin C
X	3	2	4
Y	1	5	3
Z	2	6	2

Currently, the availability of raw materials to make multivitamins is limited. Company only has the availability of vitamin A = 170 mg, vitamin B = 430 mg, and vitamin C = 140 mg. With limited raw materials available, determine the type of multivitamin X, Y, and Z that can be produced by the company

2. Padang Sehat Restaurant is a restaurant located in Jakarta. This restaurant has many mainstay menus. The 2 mainstay menus of this restaurant are Chicken Rendang and Fried Chicken. The total cost incurred by this Restaurant to produce 2 types

The mainstay menus are A and B which are shown in the following equation.

TC = (2)Qa2 + 4Qb2 + (Qa)(Qb) + 8

The selling price of each item per unit is Pa = 50 and Pb = 100. By using these equations, determine:

a. Total production of each item for maximum profit

b. The maximum profit

3. In 2020, Indonesia was hit by a pandemic. Demand for masks continue to increase. PT Mask Indonesia experienced a very drastic increase in demand. The mask demand function for these masks is expressed in the equation P = 24 – 2Q2.

Meanwhile, the supply function is P = 12 + (2)Q. But in 2022 experience the division of the calculation is calculated per semester, so that the constants of each function supply and demand need to be divided by two for the calculation to work.

Determine the calculation in 2022 for:

a. The amount of consumer surplus and producer surplus for the demand for these masks (Weight

10%)

b. Make a graph of the curve for consumer surplus and producer surplus

c. Give your conclusion!

Adidas is one of the most famous football manufacturers in the world. One of The ball used in big events is a foot ball with the name "Jabulani" which is used in world cup in Africa. Adidas not only produces footballs but Adidas as well producing basketball and volleyball. The production manager of Adidas Indonesia said that To produce a football requires 1m of leather and 10m of thread. Whereas forTo produce a basketball requires 2m of leather and 15m of yarn. To produce a a volleyball requires 1m of leather and 12m of string. In addition, during the production process, for the manufacture of footballs spent half an hour each ball produced, 45 minutes to produce each basketball and within 1 hour can produce 3 volleyballs. After checking the available raw materials, it is known that there are as many leather inventories 75m and 1000m of yarn supply and available working hours of 9 hours/day. 

If the selling price of each ball is Rp. 50.192 for a football, Rp. 45,000 for a basketball, Rp. 25,000 for a volleyball and the cost of the packing box for each ball is the same Rp. 5,000 so:

a) Calculate the exact quantity produced for each ball for Adidas to obtain maximum profit?

b) How big is the profit?