The reasonable estimate of the current customer price index is 195. The option B is the correct option.
Customer price index is the price index which measures the weight average of price of basket of customers goods or services.
It can be given as,
[tex]\rm CPI_t=\dfrac{C_t}{C_0}\times 100[/tex]
Here [tex]\rm C_t[/tex] is the cost of market basket in current period and [tex]\rm C_0[/tex] is the cost of market basket in the base period.
Cost of market basket in current period is
[tex]\rm C_t=15.66+119.75+23.99+37.50\\\\C_t=196.9[/tex]
Cost of market basket in 1983 is,
[tex]\rm C_0=8.85+71.25+13.95+22.7\\\\C_0=116.8[/tex]
Substitute all the values in the formula
[tex]\rm CPI_t=\dfrac{C_t}{C_0}\times 100\\\\\rm CPI_t=\dfrac{196.9}{116.8}\times 100\\\\\rm CPI_t=1.685\times 100 \\\\ CPI_t=168.5\\\\\rm CPI_t= 170 \ \rm approx[/tex]
Thus the value of current CPI is 168.5 which is near about the 170.
Hence, the reasonable estimate of the current customer price index is 195. The option B is the correct option.
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