1 Suppose the supply for a certain textbook is given by p==q² and 1 demand is given by p= -- q² + 10, where p is the price and q is the 5 quantity. The graph of these equations is shown to the right. Find the equilibrium quantity and the equilibrium price. Price 10- 8- 2- 0 2 4 6 8 10 Quantity
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- Van der Waals Equation In Exercise 18 at the end of Section 2.3, we discussed the ideal gas law, which shows the relationship among volume V, pressure p, and temperature T for a fixed amount 1 mole of a gas. But chemists believe that in many situations, the van der Waals equation gives more accurate results. If we measure temperature T in kelvins, volume V in liters, and pressure p in atmosphere 1 atm is the pressure exerted by the atmosphere at sea level, then the relationship for carbon dioxide is given by p=0.082TV0.0433.592V2atm What volume does this equation predict for 1 mole of carbon dioxide at 500 kelvins and 100 atm?Suggestion: Consider volumes ranging from 0.1 to 1 liter.1. p = −x2 + 15 Determine the quantity demanded when the unit price is set at p = 6. x = ? thousand units 2. In the pair of supply and demand equations below, where x represents the quantity demanded in units of a thousand and p the unit price in dollars, find the equilibrium quantity and the equilibrium price. p = −x2 − 4x + 75 and p = 5x + 23 equalibrium quantity ? thousand units equilibrium price ? DollarsA particular commodity has a price-supply equation give by p=375(1.034)x, where x is the number of items of the commodity demanded when the price is p dollars per item. Find producer's surplus if (a) the equilibrium quantity is 37 items; (b) the equilibrium price is 2063 dollars.
- 1. A company sells baseball cards. The cost equation to manufacture the product is given by C (x) = x^2 - x + 31. The company sells its cards for $ 3.00 each. Therefore, your income equation is R (x) = 3x, where R is income and x is the number of units sold in the week (in thousands). Find and interpret the equilibrium point. PLEASE SHOW STEPS CLEARLY.Market Equilibrium The demand for diamondstudded watches is given by p = 7000 - 2x dollars,and the supply of watches is given by p = 0.01x2 +2x + 1000 dollars, where x is the number of watchesdemanded and supplied when the price per watch isp dollars. Find the equilibrium quantity and the equilibrium price.The supply and demand equations for a certain product are: (1) and (2) respectively, where p represents the price per unit in dollars and q, the number of units sold per period. 3q-200p + 1800 = 0 3q + 100p-1800 = 0 Find the equilibrium price algebraically. Find and interpret the equilibrium price when a tax of 27 cents per unit is imposed on the supplier.
- 1. A company sells baseball cards. The cost equation to manufacture the product is given by C (x) = x^2 - x + 31. The company sells its cards for $ 3.00 each. Therefore, your income equation is R (x) = 3x, where R is income and x is the number of units sold in the week (in thousands). Find and interpret the equilibrium point.The total U.S. personal income I (in billions of dollars) from 1960 and projected to 2024 can be approximated by I = 533.6(1.065)t where t is the number of years past 1960.† (a) What t-values correspond to the years 1995, 2012, and 2024? 1995 corresponds to the t-value = yr 2012 corresponds to the t-value = yr 2024 corresponds to the t-value = yr (b) What does the formula estimate the total U.S. personal income (in billions of dollars) to be for 1995, 2012, and 2024? (Round your answers to the nearest billion.) for 1995, I = $ billion for 2012, I = $ billion for 2024, I = $ billion (c) The U.S. total personal income given by the U.S. Bureau of Labor Statistics for 2018 is $19,129.6 billion. What does the formula estimate it to be in 2018? (Round your answer to the nearest billion.) I = $ billionThe demand equation for the BWS Bluetooth wireless loudspeaker is p = −0.03x + 210 where x is the quantity demanded per month and p is the unit price in dollars. The corresponding supply equation is given by p = 0.015x + 30 where x is the quantity demanded per month and p is the unit price in dollars. Find the equilibrium quantity and the equilibrium price for the BWS Bluetooth wireless loudspeakers. equilibrium quantity units equilibrium price $
- Demand for apartments in a certain town is D(x)=1480−3x,and the supply is S(x)=500+11x, where x is the number of apartments, in hundreds, and D(x) and S(x) are the rent in dollars per month, per apartment. a) Find the equilibrium point = b) Find the consumer surplus and producer surplus= c) Suppose a maximum rent of$1050 per month is imposed by the town council. Find the point xC, pC= d) Find the new consumer surplus and new producer surplus= e) Find the deadweight loss=Two substances A and B are combined to form a product C. The formation of the product is proportional to the time the reactants are combined. The final product is composed of three parts of A for every part of B. If initially A is 50 lbs and B is 60 lbs, and 10 lbs of the product are formed after 45 mins., find the time it takes for the reaction to form 25 lbs. Use the mathematical model provided for variable names.3. We developed a model for the maximum heart rate for various ages. For this problem, use this model: M=208−0.74⋅AM=208-0.74⋅A M = Maximum Heart Rate in beats per minute A = age Q. For what age would the maximum heart rate be 168 bpm (assuming this equation applies at that time)?