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.

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…

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Question 3 to the cost of producing the (x + 1)st item? a Can you think of a cost function, so that the marginal cost at any r is exactly equal If yes, describe as many such functions as possible. If not, show why such a function cannot exist. Type here to search 7:00 PM ENG 4/27/2021 Esc Lock F1 F2 F6 F3 F4 F5 F7 Home End Delete F8 F9 F10 F11 F12 Insert %23 $4 & * 7. 4 5 6 Backspace 80 W E R T Y U S D F G H J K L B N M Alt Alt PrtSc Ctrl PgUp