8. Un agente determina su demanda de consumo y ocio (u oferta de trabajo) a partir del siguiente problema: máx{c,0} U(c) + V (0) s.ap.cw.(L — 0) (U' > 0, U" < 0, V' > 0, V" < 0) donde: c es el consumo, el ocio, p el precio del bien de consumo, w el salario y L la dotación total de tiempo disponible (por lo tanto, (L-0). tiempo destinado al trabajo). La restricción indica que el gasto en consumo debe ser igual al ingreso. a) A partir de las condiciones de primer orden del problema indique cómo cambian la demanda de consumo y de ocio ante un aumento del salario. b) Estudie cómo cambia la utilidad en el máximo ante un aumento del salario.

Only typed answer and don't use chat gpt and please answer correctly  Suppose that you can sell as much of a product (in integer units) as you like at $61 per unit. Your marginal cost (MC) for producing the qth unit is given by: MC=9q This means that each unit costs more to produce than the previous one (e.g., the first unit costs 9*1, the second unit (by itself) costs 9*2, etc.). If fixed costs are $50, what is the optimal output level? Please specify your answer as an integer. Also, assume that a competitive firm has the total cost function: TC = 1q3 - 40q2 + 710q + 1700 Suppose the price of the firm's output (sold in integer units) is $550 per unit. Using tables (but not calculus) to find a solution, what is the total profit at the optimal output level? Please specify your answer as an integer.

at the optimal output , what price will do drop in chrge and what will be its output?Price $ Output in units Also at the optimal price and output , what will be its total revenue, total cost and total lost .Please calculate the points on the graph.    Please provide solution

The Calhoun Textile Mill is in the process of deciding on a production schedule. It wishesto know how to weave the various fabrics it will produce during the coming quarter. Thesales department has confirmed orders for each of the 15 fabrics produced by Calhoun.These demands are given in the following table. Also given in this table is the variablecost for each fabric. The mill operates continuously during the quarter: 13 weeks, 7 daysa week, and 24 hours a day.There are two types of looms: dobbie and regular. Dobbie looms can be used to makeall fabrics and are the only looms that can weave certain fabrics, such as plaids. The rateof production for each fabric on each type of loom is also given in the table. Note that ifthe production rate is zero, the fabric cannot be woven on that type of loom. Also, if afabric can be woven on each type of loom, then the production rates are equal. Calhounhas 90 regular looms and 15 dobbie looms. For this problem, assume the time requirementto change…