Um, option 1

CHALLENGE 1
A consumer purchases a pure competition on the market two types of products.
It is well known:
The utility function of a set of products for the consumer:
- The value of the budget allocated for the purchase of a set of tys.r / unit.
- The market prices of the products of the first type tys.r, the second type tys.r.
Define a set that provides the greatest utility to the consumer. Give a geometric interpretation of the obtained solution with the use of indifference curve and the budget constraint.

TASK 2
The company organized production of a homogeneous commodity product that comes to market pure competition. Features allow for such an enterprise value of the issue, at which the greatest profit.
It is well known:
Function costs of the enterprise
The market price of marketable products
To determine the optimal amount of the issue, providing the greatest return to the enterprise value of the profits. Give a geometric interpretation of solutions, which build curves:
- With total costs, revenue and profits P R depending on the volume of production;
- Medium AC and MC marginal costs;
- Average and marginal income on the chart show the total profit in the calculation of the optimal mode of production.

GOAL 3
The enterprise-monopolist produces homogeneous products.
It is well known:
The demand function for a commodity product monopoly
tys.r. / unit
Cost function:
tys.r.
The company is able to organize the optimal mode of production, providing the highest revenues.
Is required to determine if such a mode of production:
- Amount of the issue,
- The market price,
- The total value of income, expenses and profits,
- Average income, expenses and profits,
- Limits of income, expenses and profits,
- The coefficient of price elasticity of demand for the products of a monopolist.
Give a geometric interpretation of solutions, which build curves:
- General costs, revenue and profit;
- Medium and limits costs, revenue and profit.