.Imagine an economy where the impact of improved health on income per capita was given by the following equation:

y = 10, 000H + 10, 000

and the impact of income on health was given by the following:

H=(%)1 Note that H is a measure of health in an eoonomy and ranges from i] to T. y is a measure of GDP per capita. a) (5 l'vfarks) 'What is the equilibrium amount of health and GDP per capita in this economy? The international community is concerned about the poor health of this country and wish to help. They want to improve it so that H = 5.25 in the country. They are considering two options. - Investing in a universal vaccination program that 1will change the health equa tion to H = () 1+ X, where X is a value greater than [IL so a Providing the country with new technology that will increase productivity and change the income equation to y = 10.. UH + 10,000 + 3.. where Z is a value greater than 0. h) {5 NIarks) Solve for the value of X required to achieve the goal under option 1. 'What is the resulting equilibriun1 amount of health and GDP per capita in this economy with this option'iI (HINT: The income equation has not changed from its original form, and you know the level of health that results in the desired equilibrium]. :3) {5 Marks] Solve for the value of Z required to achieve the goal under option 2. What is the resulting equilibrium amount of health and GDP per capita in this economy 1with this option?I (HINT: The health equation has not changed from its original form, and you know the level of health that results in the desired equilibrium] . cl) {5 Marks) 1Which of these two options would you recommend if the cost of every unit of X is $4 million: and the east of every Z is 31-12%