the price, in dollars per unit, that consumers are willing to pay for a popular high - end digital camera is…

the price, in dollars per unit, that consumers are willing to pay for a popular high - end digital camera is given by the accompanying function, where x is in thousands of units. complete parts (a) and (b). p(x)=1310 - 175 ln x\n\n a) what price corresponds to a demand of 200,000 units?\nhow can the price that corresponds to a demand of 200,000 units be found? select the correct choice below and fill in the answer box to complete your choice. (simplify your answer.)\na. evaluate p(200)\nb. solve =1310 - 175 ln x for x\nthe price that corresponds to a demand of 200,000 units is $302.70 (round to the nearest cent as needed.)\n\n b) how many units will consumers buy at a price of $770 per camera?\nhow can the number of units that consumers will buy at a price of $770 per camera be found? select the correct choice below and fill in the answer box to complete your choice. (simplify your answer.)\na. solve 770 = 1310 - 175 ln x for x\nb. evaluate p( )\nat a price of $770 per camera, consumers will buy unit(s) (round to the nearest whole number as needed.)

the price, in dollars per unit, that consumers are willing to pay for a popular high - end digital camera is given by the accompanying function, where x is in thousands of units. complete parts (a) and (b). p(x)=1310 - 175 ln x\n\n a) what price corresponds to a demand of 200,000 units?\nhow can the price that corresponds to a demand of 200,000 units be found? select the correct choice below and fill in the answer box to complete your choice. (simplify your answer.)\na. evaluate p(200)\nb. solve =1310 - 175 ln x for x\nthe price that corresponds to a demand of 200,000 units is $302.70 (round to the nearest cent as needed.)\n\n b) how many units will consumers buy at a price of $770 per camera?\nhow can the number of units that consumers will buy at a price of $770 per camera be found? select the correct choice below and fill in the answer box to complete your choice. (simplify your answer.)\na. solve 770 = 1310 - 175 ln x for x\nb. evaluate p( )\nat a price of $770 per camera, consumers will buy unit(s) (round to the nearest whole number as needed.)

Answer

Explanation:

Step1: Set up the equation for part b

We are given the price - demand function $p(x)=1310 - 175\ln x$ and we need to find $x$ when $p(x) = 770$. So we set up the equation $770=1310 - 175\ln x$.

Step2: Rearrange the equation

First, subtract 1310 from both sides: $770 - 1310=- 175\ln x$ $- 540=- 175\ln x$ Then, divide both sides by - 175: $\ln x=\frac{540}{175}=\frac{108}{35}\approx3.0857$

Step3: Solve for x

Since $\ln x = a$ is equivalent to $x = e^{a}$, we have $x = e^{\frac{108}{35}}$. Using a calculator, $x=e^{3.0857}\approx22$ (rounded to the nearest whole number). Since $x$ is in thousands of units, the number of units is $22\times1000 = 22000$.

Answer:

22000