Assume that the consumption function for a private open economy, Azania, is such that C = 50 + 0.8Y. Also assume further that planned investment Ig and net exports Xn as well as G are respectively 30, 10, and 100 million respectively, calculate (a) the equilibrium income and (b) total consumption for this economy. Suppose the economy achieved Xn = 0, how much have (c) income and (d) consumption changed? Recall the real output Y in the economy equals C + Ig + G + Xn. Show all work.

Acompany manufactures x units of product a and y units of product b, on two machines, i and ii. it has been determined that the company will realize a profit of $3 on each unit of product a and $4 on each unit of product b. to manufacture a unit of product a requires 7 min on machine i and 5 min on machine ii. to manufacture a unit of product b requires 8 min on mchine i and 5 min on machine ii. there are 175 min available on machine i and 125 min available on machine ii in each work shift. how many units of a product should be produced in each shift to maximize the company's profit p?