Answer:
The answer is "0.12".
Explanation:
In the given question, some of the information missing. so, the missing information and its solution can be defined as follows:
Missing information:
[tex]C=14,400+0.75(Y-T)-50,000r\\I^P=7,000-24,000r\\G=8,500\\NX=2,000\\T=9,000\\Y^d=65,080[/tex]
Formula:
[tex]\bold{PAE = C + I + G + NX}[/tex]
solution:
[tex]\to PAE = 14400 + 0.75 \times (Y - 9000) -50000r + 7000 - 24000r+ 10500\\\\[/tex]
[tex]= 14400 + 0.75Y - 6750 -50000r + 7000 - 24000r+ 10500\\\\= 25150 -74000r + 0.75Y \\[/tex]
Calculating the value of r:
let [tex]Y = Y^d = PAE[/tex]
[tex]\to 65080 = 25150 - 74000r + 0.75 \times 65080\\\\ \to 65080 = 25150 - 74000r + 48,810 \\\\\to 74000r= 25150 + 48,810 - 65,080\\\\\to 74000r= 8,880\\\\\to r =\frac{8,880}{74000} \\\\\to r= 0.12[/tex]
