The biological relationship between the growth for the fish population and the size of the fish population is g= 12S(1-S/4) where g is the growth of the fish population and S is the size of the population. The size of the harvest is a function of the amount of human effort expended b = 3ES where E is the level of effort. Market price of fish per unit is $100 and a constant marginal cost of effort is $40. The efficient sustained effort level, E e= Hint: Write the number in one decimal place.
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- b.A clothing manufacturer makes trousers, skirts and blouses. Each trouser requires 20 minutes of cutting time, 60 minutes of sewing time and 5 minutes of packaging time. Each skirt requires 15 minutes of cutting time, 30 minutes of sewing time and 12 minutes of packaging time. Each blouse requires 10 minutes of cutting time, 24 minutes of sewing time and 6 minutes of packaging time. The amount of time available for cutting, sewing and packaging is 115 hours, 280 hours and 65 hours respectively. Using either the Inverse Method or the Cramer’s Rule, determine how many of each type of clothing should be made to use all available labor hours?A farmer has 8 hectares of agricultural land. The farmer will plant the land with rice and corn. 3 tons of rice can be harvested from 1 hectare of rice field, while 4 tons of corn can be harvested from 1 hectare of corn field. This farmer wants to get a yield of no less than 30 tonnes. If the cost of planting 1 hectare of rice field is 500 thousand and the cost of planting 1 hectare of corn field is 600 thousand. Then what is the minimum cost that must be incurred by the farmer?Use the table to answer questions 1. What is the oppourtonity cost of producing 800 tons of fruit instead of 450?
- a.A clothing manufacturer makes trousers, skirts and blouses. Each trouser requires 20 minutes of cutting time, 60 minutes of sewing time and 5 minutes of packagingtime. Each skirt requires 15 minutes of cutting time, 30 minutes of sewing time and 12 minutes of packaging time. Each blouse requires 10 minutes of cutting time, 24 minutes of sewing time and 6 minutes of packaging time.The amount of time available for cutting, sewing and packaging is 115 hours, 280 hours and 65 hours respectively. Using either the ??????? ?????? ?? ?????????'? ????, determine how many of each type of clothing should be made to use all available labour hours?Factory X can produce skis or snowboards. If all factory time is devoted to producing skis, 400 pairs of skis per day are produced. If the factory devotes all time to producing snowboards, 700 snowboards per day are produced. Snowboards 700 400 Pairs of Skis A recent technological advancement has positively impacted factory operations. This has resulted in an increase production of snowboards by 50%. What is the new maximum number of skis that can be produced per day?The wage rate of Zeta Corp. employees is 20 million per month, while the cost of one unit of machine is 80 million per month. Currently, Zeta Corp. produces 100 units of output and employs 20 employees and uses 5 units of production machines. This combination of factors of production is the most efficient for the company. So If Zeta Corp. wants to increase its output to 200 units but it cannot change its number of machines (from 5 units), what is the optimal number of employees and production costs of Zeta Corp.?
- The following Table is for answering questions below: Input Output TFC TVC TC MC 200 1000 400 1000 X - T 1200 W Z Y 5 What is the value of W ? 400 200 1000 None of the above=>Please solve only 6 and 7 i give good feedback please fast.Ben's swim coach estimates that his time, t, in the 100-yard butterfly at a big upcoming meet as a function of the number of yards he swims per week, y, is t = 50+8e-0.00005y Based on this production function, his coach also estimates that if Ben swims 20,000 yards per week, his time will be 52.94 seconds, and he will finish tenth place. If he swims 40,000 yards per week, his time will be 51.08 seconds, and he will come in third. If he swims 60,000 yards per week, his time will be 50.40 seconds, and he will win the meet. Use calculus to determine Ben's marginal productivity of time given the number of yards he practices. Is there diminishing marginal productivity of practice yards? Ben's marginal productivity of swim time given y practice yards (MP) is (Properly format your expression using the tools in the palette. Hover over tools to see keyboard shortcuts. E.g., a superscript can be created with the ^ MPy character.)
- what is efficient scale in economicsThe cost of controlling carbon dioxide emissions [C(E)] at a firm goes up rapidly as the amount of emissions (E) increase. Let's assume the relationship is defined by the function below. C(E)= 5000+ 40E +2E² E20 where E is measured in tonnes per year and C is measured in dollars per year. a) Determine the Marginal Cost function for controlling carbon dioxide emissions and find the marginal cost at 50 tonnes of emissions: b) Determine the Average Cost Function for controlling carbon dioxide emissions and find the tonnes of emissions at minimum average cost. c) The government is charging a tax of $270 for every tonne of carbon dioxide emitted. At, 50 tonnes of emissions, is it profitable for the firm to control emissions on its own or pay the carbon tax?How do we solve the following question below?