Consider the following demand and supply functions. D(x) = 83-0.4x, S(x) = 2x + 75.8,0 ≤ x ≤ 90 Step 1 of 3: Find the equilibrium point. x (XE,PE) = (
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- For the demand function (image 1) and supply function (image 2) a) the equilibrium price is: b)the consumers surplus under marker equilibrium, rounded to the nearest integer is: c) the producers surplus under marker equilibrium, rounded to the nearest integer is:A group of retailers will buy 88 televisions from a wholesaler if the price is $300 and 128 if the price is $250. The wholesaler is willing to supply 72 if the price is $225 and 152 if the price is $315. Assuming the resulting supply and demand functions are linear, find the supply equation, the demand equation, and the equilibrium point for the market.A manufacturing business can supply 60 plasma TV sets per month at a price of $280 per set, or sell 140 plasma TV sets if the price is $370 per set. A group of retailers will buy 80 plasma TV’s if the price is $350 per pair and 120 plasma TV’s if the price is $300 per set. Given that the demand and supply functions must be linear: Find the linear equations representing both demand and supply Find the point of market equilibrium (number of TVs: q) and the price per unit (p) at that point.
- The demand function is given as:- 3Q - 15 = P And the supply function is 30 - 6Q = P Calculate the equilibrium quantityRetailers will buy 45 Wi-Fi routers from a wholesaler if the price is $10 each but only 20 if the price is $85. The wholesaler will supply 56 routers at $46 each and 70 at $50 each. Assuming that the supply and demand functions are linear, find the market equilibrium point. (q, p)Find producer's surplus at the market equilibrium point if supply function is p=3x+3 and the demand function is p = 100.8/(x+15)
- The estimated monthly U.S. demand function for avocados isQ = 144 − 40p + 20pt where p is the price of avocados and pt is the price of tomatoes, a substitute for avocados. The estmated supply function is Q = 58 + 15p − 20pf where the price of fertilizer, pf , is $0.40, so the supply function can be written asQ = 50 + 15p. The initial price of tomatoes is $0.80 per lb. Using algebra, determine the initial equilibrium price and quantity of avocados, and then determine how price and quantity change if the price of tomatoes increases by $0.55 to $1.35Find the equilibrium points for (Q, P1, P2) of the two commodity demand and supply market functions below. The equilibrium condition may be summarized as Qdi = Qsi. Qd1 = 24 − 8P1 + 2P2 Qs1 = −6 + 12P1 Qd2 = 28 + P1 − 8P2 Qs2 = −6 + 2P2 Show all working.If the supply function for a commodity is p = q2 + 4q + 16 and the demand function is p = −8q2 + 7q + 436, find the equilibrium quantity and equilibrium price.
- If the number of buyers in a market increases from 25 to 75, you would expect the equilibrium price to _____ and the equilibrium quantity to _____, holding all else constant. Group of answer choices remain the same; remain the same decrease; decrease decrease; increase increase; increase increase; decreaseSuppose the demand and supply function of the item x and y are associated with each other. If qx and qy are the units produced and sold of x and y, respectively, and px and py are the corresponding prices, the demand functions are qx=7-px+py and qy=24+px-py and the supply functions are qx=-3+4px-2py and qy=-5-2px+4py. What is the equilibrium prices?A retail chain will buy 900 cordless phones if the price is $30 each and 800 if the price is $40. A wholesaler will supply 350 phones at $40 each and 1400 at $70 each. Assuming that the supply and demand functions are linear, find the market equilibrium point and explain what it means.