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- It is observed that a certain bacteria culture has a relative growth rate of 12% per hour, but in the presence of an antibiotic the relative growth rate is reduced to 5% per hour. The initial number of bacteria in the culture is 22. Find the projected population after 24 hours for the following conditions.(a) No antibiotic is present, so the relative growth rate is 12%.(b) An antibiotic is present in the culture, so the relative growth rate is reduced to 5%.A population of mice will be used in a dose response study using chemical A. One in vitro study revealed that 100 ppm of A in a mice body might correspond to the LD50. If the average body mass for the mice population is 200 g: -Calculate the estimated LD50 in mg per kg of mouse body mass. -If the range of doses goes from 20% to 2 times the estimated LD50 minimum and maximum bodily doses required in mg/kg of body mass, calculate the minimum and maximum bodily doses required in mg/ kg of body mass. -What are the minimum and maximum masses of A that must be injected to the mice?Consider a population of tuna T that is growing logistically according to the equation: T'=0.1T(1-T/1000) What are the equilibrium values?
- 1. A company sells baseball cards. The cost equation to manufacture the product is given by C (x) = x^2 - x + 31. The company sells its cards for $ 3.00 each. Therefore, your income equation is R (x) = 3x, where R is income and x is the number of units sold in the week (in thousands). Find and interpret the equilibrium point. PLEASE SHOW STEPS CLEARLY.How do I find the equilibrium btn demand and supply? tysm in advanceThe population of Normal, Illinois grows proportionally to its population at time t. At an initial population of 2100, it grows at a rate of 8% over 10 years. What is the value of the proportionality constant?
- Suppose the demand for Kepler’s Miniature Planets is given by ?(?) = 275 − 1.25? and the supply is given by ?(?) = 150 + 0.3?, where x is in thousands of miniature planets, and d(x) and s(x) are in dollars per miniature planet. a) Find the equilibrium point.b) find the consumer surplus at the equilibrium point.c) find the producer surplus at the equilibrium point.d) Explain (in 1-2 sentences) why both consumers and producers feel good when consumer and producer surpluses exist.The estimated Philippine population is 90 million in 2010 and the estimated growth rate was 2.4 % per year. That is n(2010) = 9 x107 and k= 0.024. So an equation for predicting the population with the stated initial condition and growth rate of 2010 isFind the equilibrium solutions and analyze the stability using the phase diagram.