Suppose that the supply and demand equations for a certain product are given by: p=D(q)=70-0.2x p=S(q) 13+0.004.x² Graph the two functions on the same axes. Label some of the values on each axis.
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- 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.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 detailsA 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.
- A charity is considering operating a lemonade venture for the summer. The assumption is that they can sell up to 9,000 units of lemonade at a price of $3.00. In addition, it is assumed that if lemonade is sold for $4.00 that sales would decline to 6,500 units. Consider a simple demand curve for the lemonade venture. To develop a demand curve from these estimates, it is assumed that the relationship between price and quantity is linear, meaning that the change in quantity will be proportional to the change in price. Graphically, you can infer this relationship by plotting the two price-quantity pairs on a graph and connecting them with a straight line. Using intermediate algebra, you can derive an equation for the linear demand curve P=6.6-(-0.0004Q) Please assist me to plot he graphs for the scenarios above. I don't know what to do. (Thanks so much for your help)suppose the demand and supply functions for an item are givem by QX = 50-2P and QX= 10+3P a, represent the above function graphically b, find the equilibrium price and quantityAssume 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.
- Suppose the demand function for a product is given by pq+p=5000 where p is price in dollars and q is the number of units sold. If the price is $50 and increasing by $2 per week, how is the quantity sold changing?The market supply and demand equations for a given product are given by the expressions QD=200-50p QS=-40+30P a. Find the equilibrium price and Quantity b. Suppose that there is an increase in demand and supply to QD=300-50P QS=-20+30P Respectively, find the new equilibrium point. In addition to this, show the impact of change in demand and supply using axing graph.A company has determined that the demand for its coffee makers can be shown by the demand equation p=-0.2x+158, where p is the price per coffee maker and x is the number of coffee makers sold a) Find the number of coffee makers the company needs to sell in order to maximize its revenue b) Find the Maximum Revenue c) Find the optimal price that will allow the firm to maximize profits
- The market equilibrium point for a product is reached when 6000 units are produced and sold at $21 per unit. The manufacturer will not produce any units at the price of $5, and the customers will not buy any at the price of $69. Find the supply and demand equations, assuming they are linear. The equations should express price p in terms of quantity q. a. Supply equation P= b. Demand equation P=I need some help Consider the equations and graphs for the demand and supply functions given below. Then answer the following questions. P=5Q^2+72Q P=-Q^2-3Q+20.23 State the domain for these curves for the analysis to be valid. (Answer to 2 decimal places)The demand function for an item is given by d(x) = 100/ 0.01x 2 + 1 (20 ≤ x ≤ 50) where d(x) (measured in units of a thousand) is the quantity demanded per weak and x is the unit price in dollars. (a) Find the rate of change in demand with respect to price. (b) How fast is the demand changing at price equal to 30 (x = 30)?