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The marginal cost function {image} is defined to be the derivative of the cost function. If the marginal cost of manufacturing x units of a product is {image} (measured in dollars per unit) and the fixed start-up cost is {image} , use the Total Change Theorem to find the cost of producing the first 5,000 units. • $350,110,000 • $351,110,000 • $350,410,000 • $351,310,000 • $350,810,000 • $351,110,000
The demand function for a certain commodity is {image} . Find the consumer surplus when the sales level is 20. • $12.00 • $24.00 • $22.00 • $18.00 • $28.00 • $20.00
A supply curve is given by {image} . Find the producer surplus when the selling price is $15. • $9,661.17 • $13,525.63 • $25,119.03 • $19,322.33 • $15,457.87 • $21,254.57
A movie theater has been charging $6.00 per person and selling about 300 tickets on a typical week night. After surveying their customers, the theater estimates that for every $1.00 that they lower the price, the number of movie goers will increase by 40 per night. Find the demand function and calculate the consumer surplus when the tickets are priced at $4. • $1,624.50 • $1,805.00 • $2,707.50 • $1,083.00 • $2,346.50 • $2,527.00
1. 2. 3. 4. 5. 6. Poiseuille's Law states that the rate of blood flow in a small human artery is given by {image} where P is the pressure difference between the ends of the vessel, R and l are the radius and length of the vessel, and {image} is the viscosity of the blood. Use Poiseuille's Law to calculate the rate of flow in an artery for which {image} , {image} , {image} , and {image} . • {image} • {image} • {image} • {image} • {image} • {image}