3. A manufacturer that produces a computer headset sells 400 units when the unit price is Php1,200. It has determined that with a Php80 reduction in the unit price, 120 more headsets will be sold. Find the demand function assuming that it is linear.
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- The market research department of the Better Baby Buggy Co. predicts that the demand equation for its buggies is given by q = −2.5p + 500 where q is the number of buggies it can sell in a month if the price is $p per buggy. At what price (in dollars) should it sell the buggies to get the largest revenue? p = $Assume that the market of pens consists of three consumers who's demand curves are P=15-0.5Qa. P=5-0.111Qb and P=5-0.2Qc. The supply function given is P=5-0.25Qs.a) calculate the market price and output for pens for the month of March 2023 and show your answer graphically.There is no demand for a certain make of one-time use camera when the unit price is $ 12. However, when the unit price is $ 8, the quantity demanded is 8000/week. The supplier will not market any cameras if the unit price is $ 2 or lower. At $ 4/camera, however, the manufacturer will make available 5000 cameras/week. Given that both the supply and demand equations are linear: Determine the associated linear demand function Determine the linear supply function. At what price should the camera be sold so that there is neither a surplus nor a shortage?
- A local store will buy 20 doorbell cameras from a supplier if the price is $77 each. If the price drops to $27 , then the store will buy 30 . The supplier is willing to sell 66 doorbell cameras for the price of $50.50 each, but only 49 at a price of $42.00 each. Find the supply and demand functions and the market equilibrium point. Assume both the supply and demand are linear. Use integers, fractions or decimals to describe the slopes and p-intercepts. A) What is the equation for the demand? p= B) What is the equation for the supply? p= c) What is the market equilibrium point?Explain in detailsConsider the demand function d(p)=300e^−0.01p^2 items purchased when charging p dollars per item. Currently the price is 9 dollars per item. Use marginal analysis to estimate the decrease in demand when the price increases by 0.3 dollars per item. Demand would decrease by approximately _____ items. Round your answer to three decimal places.At what price, will demand be equal to 728 for the following demand function Q(P) = 3403 – 25 P
- What is the inverse of this supply function? Qs =P-20Consider the general supply function Qs = 60+5P-12Pi+10F Derive the equation of the supply function when Pi = 90 dollars and F = 20.Suppose a certain home improvement outlet knows that the monthly demand for framing studs is 2,700 when the price is $5.46 each but that the demand is 3,300 when the price is $5.34 each. Assuming that the demand function is linear, write its equation. Use p for price (in dollars) and q for quantity.
- An industrial firm makes two products, A and B. These products require water resources where they are very scarce. The products they make are unique, and hence they can set the unit price of each product at any value they want to. However, experience tells them that the higher the unit price for a product, the less amount of that product they will sell. The relationship between the unit price and quantity that can be sold is given by the following two demand functions: Assume for simplicity that the unit price for product A is (16 - A) and for product B is (18-2.5B). Suppose the total amount of A and B could not exceed the total amount of Tmax. Where Tmax = 10. Please use "Lagrange Multiplier" method to determine what are the amounts of A and B, and their unit prices, that maximize total revenue (Set the marginal increments at 1).Bread demand function: Q = 100 + 0,5 1 - 30P1+ 20P2, where Q is the annual value of demand; I is income; P1 is the price of bread; P2 is the price of pasta. Define : 1) the function of the annual demand for bread with an income of 10 thousand rubles per month and the price of pasta 250 rubles per 1 kg; 2) the price at which the demand for bread will be zero. Construct the demand curve for bread.In a small town in North India where winter temperatures are very low, the demand function for a truckload of firewood for college students in a small town is Qc = 400 - p. It is sometimes convenient to rewrite a demand function with price on the left side. We refer to such a relationship as the inverse demand function. Therefore, the inverse demand function for college students is p = 400 - Qc. The demand function for other town residents is Qr = 400 - 2p. Solve the following & Show all your calculations. [1 + 2 + 2 = 5] (a) What is the inverse demand function for other town residents? (b) At a price of Rs.300, will college students buy any firewood? What about other town residents? At what price is the quantity demanded by other town residents zero? (c) Draw the total demand curve, which sums the demand curves for college students and other residents. Clearly label X-axis and Y-axis. Draw the curve for at least five point