Q.How is the optimal amount of labour determined in a perfectly competitive market?
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Start your 14-day free trial to unlock the full solution →In a perfectly competitive market, a firm determines the optimal amount of labour to hire by comparing the additional revenue generated by an extra worker (Marginal Revenue Product of Labour) with the additional cost of hiring that worker (the wage rate), continuing to hire until these two are equal.
To understand how the optimal amount of labour is determined in a perfectly competitive market, we must first consider the objective of any firm: profit maximization. Firms aim to produce output in the most efficient way possible, which includes making optimal decisions about their input factors, such as labour. In a perfectly competitive market, firms are "wage takers," meaning they face a given market wage rate for labour, and they are also "price takers" in the output market, meaning they sell their product at a given market price.
The decision to hire an additional unit of labour is a marginal one. A firm will continue to hire labour as long as the additional revenue generated by that labour exceeds the additional cost of hiring it.
Here's how the process unfolds:
- Demand for Labour (from the firm's perspective):
The firm's demand for labour is derived from the productivity of labour and the revenue it generates.
- Marginal Product of Labour (): This is the additional output produced by hiring one more unit of labour, holding all other inputs constant. As more units of labour are hired, the typically diminishes due due to the law of diminishing marginal returns.
- Marginal Revenue Product of Labour (): This is the additional revenue generated by hiring one more unit of labour. It is calculated as the Marginal Product of Labour multiplied by the Marginal Revenue () obtained from selling the additional output.
In a perfectly competitive output market, the firm is a price taker, so its Marginal Revenue ($MR$) is equal to the market price ($P$) of the output. Therefore, for a perfectly competitive firm:
This is also sometimes referred to as the Value of Marginal Product ($VMP_L$). The $MRP_L$ curve represents the firm's demand curve for labour, and it slopes downwards because of the diminishing marginal product of labour.
2. Supply of Labour (to the firm):
In a perfectly competitive labour market, individual firms are wage takers. This means they can hire as much labour as they want at the prevailing market wage rate () without affecting that wage. Therefore, the supply curve of labour to an individual firm is perfectly elastic (horizontal) at the market wage rate. The wage rate () represents the marginal cost of hiring an additional unit of labour.
- Optimal Amount of Labour:
A profit-maximizing firm will hire labour up to the point where the additional revenue generated by the last unit of labour is exactly equal to the additional cost of hiring that labour.
- If : The additional revenue from hiring one more worker is greater than the additional cost (wage). The firm can increase its profits by hiring more labour. …
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