[求助]请大家帮忙看看作业题

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The manufacturing sector of a given country is endowed with 100 units of capital and operates under the production function

Q=AL0.5K0.5 (0.5都是指0.5次方)

Where Q is the quantity of output, L and K are the inputs of labor and capital respectively, and A is a content equal to 100.

B. If the planners’ preference function W – expressed in monetary terms – includes both Q and the amount of employment in the manufacturing sector (L) explicitly and is defined over the relevant range as

W=V1Q+V2L; V1=2 and V2=4

Where V1 and V2 are the relative weights of Q and L in the objective function W, what is the most which the planners would be willing to pay for an additional unit of K?

不太清楚什么是preference function, 是不是要把它最大化啊？可是constraint function 没有啊。 大家帮忙看看

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关键词：作业题 respectively Preference Constraint employment 求助 帮忙 作业

这里的偏好函数就是效用函数，政策制定者的效用函数是以产量和雇佣人数即就业人数为要素来进行衡量的。至于约束方程，则是产品与要素市场的均衡，简单点说就是生产产品赚的钱正好能够支付工人的工资以及资本的租金。