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The market demand for a type of carpet known as KS-12 has been estimated as
P = 75 - 1.5Q,
where P is price ($/yard), and Q is output per time period (thousands of yards per month). The market supply is expressed as P = 25 + 0.50Q. A typical competitive firm that markets this type of carpet has a marginal cost of production of
MC = 2.5 + 10q.
a. Determine the market equilibrium price for this type of carpet. Also determine the production rate in the market.
b. Determine how much the typical firm will produce per week at the equilibrium price.
c. If all firms had the same cost structure, how many firms would compete at the equilibrium price computed in (a) above?
d. Determine the producer surplus the typical firm has under the conditions described above. (Hint: Note that the marginal cost function is linear.)
Early Adulthood
A developmental stage in humans typically considered to occur from the late teens through the twenties, marked by the pursuit of independence and the establishment of personal and professional relationships.
Prevalent Cause
The most common or widespread factor that leads to a specific outcome or condition.
Late Adulthood
The stage in human development that follows middle age and lasts until the end of life, focusing on retirement, health issues, and often a reflection on life achievements.
Heart Disease
A range of conditions that affect the heart, including coronary artery disease, arrhythmias, and congenital heart defects.
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