a$.$ At least $3,000$ total interviews should be conducted.

b$.$ An interviewer should conduct only one type of interview each day. The firm wants to maintain its daily budget of $$2,500.$

c$.$ No more than $1,000$ interviews should be by telephone.

Formulate a goal programming model to determine the number of interviewers to hire to satisfy these goals and then solve the model.

Define

$x1=$ number $of$ telephone interviewers

$x2=$ number $of$ personal interviewers

Referring to Table, the objective function is:

$$ Minimize $P_1^{-}1+P2d+2+P^{-}{d}^{-}3$

Min $P_1{d}_1^{-},P_2{d}_2^{+},P_3{d}_3^{-}$

MinZ$=$$$50x_1-$$$70x_2=$$$2,500$

Min $P_1{d}_1^{-},P_2{d}_2^{+},P_3{d}_3^{+}$

$$

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