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An Electronics Firm Produces Two Models of Pocket Calculators: the A-100

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An electronics firm produces two models of pocket calculators: the A-100 (A) and the B-200 (B) . Each model uses one circuit board, of which there are only 2,500 available for this week's production. In addition, the company has allocated a maximum of 800 hours of assembly time this week for producing these calculators. Each A-100 requires 15 minutes to produce while each B-200 requires 30 minutes to produce. The firm forecasts that it could sell a maximum of 4,000 of the A-100s this week and a maximum of 1,000 B-200s. Profits for the A-100 are $1.00 each and profits for the B-200 are $4.00 each. The firm's goal is to maximize profits.
What is the weekly profit when producing the optimal amounts?


Definitions:

Herfindahl Index

A measure of market concentration that sums the squares of the market share percentages of all firms within the industry, used to assess the level of competition.

Oligopolistic

Pertains to a market structure characterized by a small number of firms dominating the market, leading to limited competition and significant control over market prices.

Equal Percentage

A concept referring to an identical rate of change or proportionate adjustment applied across different quantities or values.

Five-Firm Industry

A market structure characterized by the dominance of the top five firms, often used as a concentration ratio to measure market competitiveness.

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