1. Write a demand and a supply curve expressed in the form of an exponential logarithmic functions respectively. Demonstrate graphically or otherwise, th functions reflect all the characteristics of a demand and supply curve. 2. a. Solve the linear inequality: 2(5-x) ≤ 3(5-x) - 7x. b. Hence or otherwise, represent your solution set on a number line. 3. Solve the system of linear inequalities: 4x + 2y ≥ 8 y - 4 > x
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- 10. A linear programming problem has two constraints 2X + 4Y ≥ 100 and 1X + 8Y ≤ 100, plus non-negativity constraints on X and Y. Which of the following statements about its feasible region is TRUE? Select one: a. The graphical origin (0, 0) is in the feasible region. b. The feasible region is triangular in shape, bounded by (50, 0), (33.3333, 8.3333), and (100, 0). c. There are four corner points including (50, 0) and (0, 12.5). here are four corner points including (50, 0) and (0, 12.5). d. The feasible region cannot be determined without knowing whether the problem is to be minimized or maximized. e. The two corner points are (0, 0) and (50, 12.5).Q7: Please show exact detailed steps for each problemPlease give me correct answer with calculation and full explanation and drawing carefully otherwise i give multiple downvote
- A firm believes a product’s sales volume (S) depends on its unit selling price (P) as S = $100 − P. The production cost (C) is $1000 + 10S. (a) Graph the sales volume (S) from 0 to 100 on the x axis, total cost and total income from $0 to $2500 on the y axis, C = $1000 + 10S, and plot the curve of total income. Mark the breakeven points on the graph. (b) Determine the breakeven point (lowest sales volume at which total sales income just equals total production cost). (c) Determine the sales volume (S) at which the firm’s profit is a maximum.A company estimated that the relationship between the unit price and demand per month for a potential new product is approximated by P = $ 100 – $ 0.1D. The company can produce the product by increasing fixed costs $ 17,500 per month, and the estimated variable costs is $ 40 per unit. What is the optimal demand, D*, and based on this demand, should the company produce new product? Why? a) Work out the complete solution by differential calculus, starting with formula for profit or loss per month b) Solve graphically for an approximate answerI’m unsure what the formula in this example problem is asking for, in terms of how to answer a-c. Im also not positive I understand how to graph I-C and P-C curves is there a formula to follow?
- Electrical Components Profit A company’s dailyprofit from the production and sale of electrical components can be described by the equation P(x) =6.45x - 2000 dollars, where x is the number of unitsproduced and sold. What level of production andsales will give a daily profit of more than $10,900?Please answer this question with detail explanation asap. Thank you so much!!MNLogs harvested logs (with no inputs from other companies) from their property in northern Minnesota. They sold these logs to MNLumber for $1,000 and MNLumber cut and planed the logs into lumber. MNLumber then sold the lumber for $2,500to MNFurniture. MNFurniture used the lumber to produce 100 tables that they sold to customers for $60 each.Instructions: Enter your responses as whole numbers.a. Complete the table below to calculate the value added by each firm. Company Revenues Cost of purchased inputs Value added MNLogs $ $ $ MNLumber $ $ $ MNFurniture $ $ $ b.Suppose that all of these transactions took place in 2016. By how much did GDP increase because of these transactions?$ c.Suppose that MNLogs harvested the logs in October 2016 and sold them to MNLumber in December 2016. MNLumber then sold the finished lumber to MNFurniture in April 2017 and MNFurniture sold all 100 tables during the rest of 2017. By how much did GDP increase in 2016 and 2017 because of…
- A retail store in Makkah, receives shipments of a particular product from Jeddah and Taif. Let X be units of product received from Jeddah and Y be units of product received from Taif.a. Write an expression for the total units of product received by the retail store in Makkah. b. Shipments from Jeddah cost $0.20 per unit, and shipments from Taif cost $0.25 per unit. Develop an objective function representing the total cost of shipments to Makkah.c. Assuming the monthly demand at the retail store is 5000 units, develop a constraint that requires 5000 units to be shipped to Makkah. d. No more than 4000 units can be shipped from Jeddah and no more than 3000 units can be shipped from Taif in a month. Develop constraints to model this situation.e. Of course, negative amounts cannot be shipped. Combine the objective function and constraints developed to state a mathematical model for satisfying the demand at the Makkah retail store at minimum cost.Technology B uses 4 workers and 2 tonnes of coal to produce 100 meters of cloth. The worker's wages cost $10 and coal costs $5. We have previously calculated that the total cost of production is $50 and that the vertical intercept of the isocost line is 10.If there was a technology that used 1 more worker, how much would it have to decrease the coal required in order to cost the same? (Note: this is the absolute value of the slope of the isocost line.)pls solve this ques with explanation in 20 minutes i'll give you multiple upvotes