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Consider a couple’s decision about how many children to have. Assume that over



a lifetime couple has 20,000 hours of time to either work or raise children. The



wage is $10 per hour. Raising a child takes 20,000 hour time.



(a) Draw the budget constraint showing the trade- off between lifetime



consumption and number of children. (Ignore the fact that children come only



in whole numbers.) Show indifference curves and optimum choice.



(b) Suppose the wages increases to $12 per hour. Show the budget constraint shifts.



Can you please explain me when wages will increase then what to do...

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Briefly explain any two determinants of investment spending



According to the case study, the fuel price increase is one of the main factors resulting in an increase in inflation. Use an AD-AS diagram to illustrate and explain the type of inflation implied by the fuel price increase. (


Describe how to prepare 250 cm3 of sodium carbonate solution at a concentration of 0.5 mol dm-3 supplied Na2CO3, 10HO crystals.

 Show that ∃xP(x) ∧ ∃xQ(x) and ∃x(P(x) ∧ Q(x)) are not logically equivalent.


 Show that ∃x(P(x) ∨ Q(x)) and ∃xP(x) ∨ ∃xQ(x) are logically equivalent.


 Determine whether ∀x(P(x) ↔ Q(x)) and ∀x P(x) ↔ ∀xQ(x) are logically equivalent. Justify your answer.


 Determine whether ∀x(P(x) → Q(x)) and ∀xP(x) → ∀xQ(x) are logically equivalent. Justify your answer.


 Express each of these statements using quantifiers. Then form the negation of the statement, so that no negation is to the left of a quantifier. Next, express the negation in simple English. (Do not simply use the phrase “It is not the case that.”) a) Some old dogs can learn new tricks. b) No rabbit knows calculus. c) Every bird can fly. d) There is no dog that can talk. e) There is no one in this class who knows French and Russian.


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